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13242672 = 2432412243
BaseRepresentation
bin110010100001…
…000100110000
3220220210112100
4302201010300
511342231142
61151500400
7220363242
oct62410460
926823470
1013242672
117525463
124527700
132988801
141a8a092
151268b4c
hexca1130

13242672 has 60 divisors (see below), whose sum is σ = 37981944. Its totient is φ = 4304640.

The previous prime is 13242661. The next prime is 13242679. The reversal of 13242672 is 27624231.

It is not an unprimeable number, because it can be changed into a prime (13242679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4783 + ... + 7025.

Almost surely, 213242672 is an apocalyptic number.

13242672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990972).

13242672 is an abundant number, since it is smaller than the sum of its proper divisors (24739272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13242672 is a wasteful number, since it uses less digits than its factorization.

13242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2289 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13242672 is about 3639.0482272155. The cubic root of 13242672 is about 236.5875430357.

The spelling of 13242672 in words is "thirteen million, two hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2243 2952 4486 5904 6729 8972 13458 17944 20187 26916 35888 40374 53832 80748 91963 107664 161496 183926 275889 322992 367852 551778 735704 827667 1103556 1471408 1655334 2207112 3310668 4414224 6621336 13242672