For example,

132 132 / 12 = 11

135 135 / 15 = 9

612 612 / 12 = 51

and many others. They are not very interesting since they are only divisible by one 2-digit number contained in them.

__More interesting cases__ :

**1296** 1296/12 = 108 1296/16 = 81

**1326** 1326/13 = 102 1326/26 = 51

**1248** is divisible by three 2-digit numbers contained in it:

1248/12 = 104 1248/24 = 52 1248/48 = 26

And

**1368** :

1368/18 = 76 1368/36 = 38 1368/38 = 36

**1632** :

1632/16 = 102 1632/32 = 51 1632/12 = 136

**1995** :

1995/19 = 105 1995/95 = 21 1995/15 = 133

**1155** :

1155/11 = 105 1155/15 = 77 1155/55 = 21

**3774** :

3774/37 = 102 3774/74 = 51 3774/34 = 111

And this very cool number:

**2184** :

2184/21 = 104 2184/28 = 78 2184/24 = 91 2184/12 = 182

2184/14 = 156 2184/42 = 52 2184/84 = 26

And,

**31248** :

31248/31 = 1008 31248/12 = 2604 31248/14 = 2232 31248/18 = 1736

31248/24 = 1302 31248/28 = 1116 31248/48 = 651 31248/84 = 372

31248/42 = 744

Find more examples.

#!/usr/bin/python3

# David a/k/a @InfinitelyManic

# Num3ers that are divisible by 2-digit numbers contained in them

# pick an arbitrary range

for number in range(31000,35000):

# get each digit within the number

for a in str(number):

# get each digit within the number

for b in str(number):

#concatenate the strings

c = a+b

# exclude 0; 1; where a == b; we only want integers

if int(c) != 0 and int(c) != 1 and a != b and number % int(c) == 0:

#print everything out

print(number,’/’,c,’=’,number/int(c))

######### some results:

31257 / 23 = 1359.0

31260 / 30 = 1042.0

31260 / 12 = 2605.0

31260 / 10 = 3126.0

31260 / 20 = 1563.0

31260 / 60 = 521.0

31260 / 03 = 10420.0

31260 / 02 = 15630.0

31260 / 06 = 5210.0

31264 / 32 = 977.0

31264 / 16 = 1954.0

31265 / 13 = 2405.0

31265 / 65 = 481.0

31269 / 21 = 1489.0

31270 / 10 = 3127.0

31270 / 02 = 15635.0

31272 / 12 = 2606.0

31272 / 12 = 2606.0

31275 / 15 = 2085.0

31275 / 25 = 1251.0

31275 / 75 = 417.0

31278 / 13 = 2406.0

31278 / 78 = 401.0

31279 / 31 = 1009.0

31280 / 10 = 3128.0

31280 / 23 = 1360.0

31280 / 20 = 1564.0

31280 / 80 = 391.0

31280 / 02 = 15640.0

31280 / 08 = 3910.0

31284 / 12 = 2607.0

31284 / 18 = 1738.0

In a condensed form we find below 1,000,000 the number’s with the most possible divisors are

413280 with 17 of its 25 being integer and

524160.

Now below 10,000,000 we have 1 winner

5416320 with 22 of its possible 36 being integer.

Paul