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65992164 = 223717371249
BaseRepresentation
bin1111101110111…
…1010111100100
311121011202020020
43323233113210
5113343222124
610314235140
71430631660
oct373572744
9147152206
1065992164
1134283987
121a125ab0
1310897524
148a9b8a0
155bd8379
hex3eef5e4

65992164 has 96 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 17252352.

The previous prime is 65992159. The next prime is 65992177. The reversal of 65992164 is 46129956.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52212 + ... + 53460.

It is an arithmetic number, because the mean of its divisors is an integer number (1995000).

Almost surely, 265992164 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 65992164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

65992164 is an abundant number, since it is smaller than the sum of its proper divisors (125527836).

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

65992164 is a wasteful number, since it uses less digits than its factorization.

65992164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 65992164 is about 8123.5561178587. The cubic root of 65992164 is about 404.1080079157.

The spelling of 65992164 in words is "sixty-five million, nine hundred ninety-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 148 204 222 238 259 357 444 476 518 629 714 777 1036 1249 1258 1428 1554 1887 2498 2516 3108 3747 3774 4403 4996 7494 7548 8743 8806 13209 14988 17486 17612 21233 26229 26418 34972 42466 46213 52458 52836 63699 84932 92426 104916 127398 138639 148631 184852 254796 277278 297262 323491 445893 554556 594524 646982 785621 891786 970473 1293964 1571242 1783572 1940946 2356863 3142484 3881892 4713726 5499347 9427452 10998694 16498041 21997388 32996082 65992164