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5664640 = 27553167
BaseRepresentation
bin10101100110111110000000
3101122210102111
4111212332000
52422232030
6321225104
766101662
oct25467600
911583374
105664640
113219a23
121a92194
131234477
14a76532
1576d62a
hex566f80

5664640 has 64 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 2209792.

The previous prime is 5664629. The next prime is 5664653. The reversal of 5664640 is 464665.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33837 + ... + 34003.

Almost surely, 25664640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

5664640 is an abundant number, since it is smaller than the sum of its proper divisors (8215520).

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

5664640 is a wasteful number, since it uses less digits than its factorization.

5664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 5664640 is about 2380.0504196340. The cubic root of 5664640 is about 178.2614514116.

The spelling of 5664640 in words is "five million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 167 212 265 320 334 424 530 640 668 835 848 1060 1336 1670 1696 2120 2672 3340 3392 4240 5344 6680 6784 8480 8851 10688 13360 16960 17702 21376 26720 33920 35404 44255 53440 70808 88510 106880 141616 177020 283232 354040 566464 708080 1132928 1416160 2832320 5664640