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65072904 = 23313415087
BaseRepresentation
bin1111100000111…
…0111100001000
311112110001020120
43320032330020
5113124313104
610242423240
71420052631
oct370167410
9145401216
1065072904
1133806266
1219961b20
1310634ca0
1488dc888
155aa5cd9
hex3e0ef08

65072904 has 64 divisors (see below), whose sum is σ = 179504640. Its totient is φ = 19530240.

The previous prime is 65072893. The next prime is 65072921. The reversal of 65072904 is 40927056.

65072904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 10249 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (2804760).

Almost surely, 265072904 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 65072904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89752320).

65072904 is an abundant number, since it is smaller than the sum of its proper divisors (114431736).

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

65072904 is a wasteful number, since it uses less digits than its factorization.

65072904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 65072904 is about 8066.7777953778. Note that the first 4 decimals coincide. The cubic root of 65072904 is about 402.2228412274. Note that the first 3 decimals are identical.

The spelling of 65072904 in words is "sixty-five million, seventy-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 5087 6396 10174 12792 15261 20348 30522 40696 61044 66131 122088 132262 198393 208567 264524 396786 417134 529048 625701 793572 834268 1251402 1587144 1668536 2502804 2711371 5005608 5422742 8134113 10845484 16268226 21690968 32536452 65072904