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13631664 = 2431914947
BaseRepresentation
bin110100000000…
…000010110000
3221122120010110
4310000002300
511442203124
61204101320
7223603314
oct64000260
927576113
1013631664
117770742
124694840
132a93897
141b4bb44
1512e4029
hexd000b0

13631664 has 40 divisors (see below), whose sum is σ = 37071040. Its totient is φ = 4304448.

The previous prime is 13631659. The next prime is 13631677. The reversal of 13631664 is 46613631.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6562 + ... + 8385.

It is an arithmetic number, because the mean of its divisors is an integer number (926776).

Almost surely, 213631664 is an apocalyptic number.

It is an amenable number.

13631664 is an abundant number, since it is smaller than the sum of its proper divisors (23439376).

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

13631664 is a wasteful number, since it uses less digits than its factorization.

13631664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977 (or 14971 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 13631664 is about 3692.1083407722. The cubic root of 13631664 is about 238.8817421174.

The spelling of 13631664 in words is "thirteen million, six hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 14947 29894 44841 59788 89682 119576 179364 239152 283993 358728 567986 717456 851979 1135972 1703958 2271944 3407916 4543888 6815832 13631664