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64563680 = 2551133571
BaseRepresentation
bin1111011001001…
…0100111100000
311111111011201102
43312102213200
5113012014210
610223453532
71412532206
oct366224740
9144434642
1064563680
1133498715
12197572a8
13104b727c
148809076
155a04ea5
hex3d929e0

64563680 has 48 divisors (see below), whose sum is σ = 153924624. Its totient is φ = 25589760.

The previous prime is 64563677. The next prime is 64563701. The reversal of 64563680 is 8636546.

64563680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16295 + ... + 19865.

It is an arithmetic number, because the mean of its divisors is an integer number (3206763).

Almost surely, 264563680 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 64563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76962312).

64563680 is an abundant number, since it is smaller than the sum of its proper divisors (89360944).

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

64563680 is a wasteful number, since it uses less digits than its factorization.

64563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 64563680 is about 8035.1527676828. The cubic root of 64563680 is about 401.1709024575.

The spelling of 64563680 in words is "sixty-four million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3571 3616 4520 7142 9040 14284 17855 18080 28568 35710 57136 71420 114272 142840 285680 403523 571360 807046 1614092 2017615 3228184 4035230 6456368 8070460 12912736 16140920 32281840 64563680