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64020864 = 273295749
BaseRepresentation
bin1111010000111…
…0000110000000
311110110121010010
43310032012000
5112342131424
610204104520
71405111515
oct364160600
9143417103
1064020864
1133157906
1219535140
131035718b
14870730c
155949229
hex3d0e180

64020864 has 64 divisors (see below), whose sum is σ = 175950000. Its totient is φ = 20600832.

The previous prime is 64020857. The next prime is 64020871. The reversal of 64020864 is 46802046.

It is an interprime number because it is at equal distance from previous prime (64020857) and next prime (64020871).

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

It is a congruent number.

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, 8262 + ... + 14010.

Almost surely, 264020864 is an apocalyptic number.

64020864 is a gapful number since it is divisible by the number (64) 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 64020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87975000).

64020864 is an abundant number, since it is smaller than the sum of its proper divisors (111929136).

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

64020864 is a wasteful number, since it uses less digits than its factorization.

64020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 64020864 is about 8001.3038937413. The cubic root of 64020864 is about 400.0434619441.

The spelling of 64020864 in words is "sixty-four million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 5749 11136 11498 17247 22996 34494 45992 68988 91984 137976 166721 183968 275952 333442 367936 500163 551904 666884 735872 1000326 1103808 1333768 2000652 2207616 2667536 4001304 5335072 8002608 10670144 16005216 21340288 32010432 64020864