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13642956 = 22322316477
BaseRepresentation
bin110100000010…
…110011001100
3221200010121200
4310002303030
511443033311
61204225500
7223651245
oct64026314
927603550
1013642956
117779178
12469b290
132a98a72
141b51ccc
1512e7556
hexd02ccc

13642956 has 36 divisors (see below), whose sum is σ = 35987952. Its totient is φ = 4349664.

The previous prime is 13642943. The next prime is 13642957. The reversal of 13642956 is 65924631.

It is a happy number.

13642956 is a `hidden beast` number, since 1 + 3 + 642 + 9 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×136429562 = 372260496835872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13642956.

It is not an unprimeable number, because it can be changed into a prime (13642957) 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, 7411 + ... + 9066.

Almost surely, 213642956 is an apocalyptic number.

It is an amenable number.

13642956 is an abundant number, since it is smaller than the sum of its proper divisors (22344996).

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

13642956 is a wasteful number, since it uses less digits than its factorization.

13642956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16510 (or 16505 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13642956 is about 3693.6372317812. The cubic root of 13642956 is about 238.9476843763.

The spelling of 13642956 in words is "thirteen million, six hundred forty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 16477 32954 49431 65908 98862 148293 197724 296586 378971 593172 757942 1136913 1515884 2273826 3410739 4547652 6821478 13642956