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70643016 = 233612113
BaseRepresentation
bin1000011010111…
…10110101001000
311220221001000000
410031132311020
5121041034031
611002043000
71515312213
oct415366510
9156831000
1070643016
1136970164
121b7a9460
1311835402
14954c77a
1563063e6
hex435ed48

70643016 has 56 divisors (see below), whose sum is σ = 198609030. Its totient is φ = 23545728.

The previous prime is 70642963. The next prime is 70643029. The reversal of 70643016 is 61034607.

70643016 is a `hidden beast` number, since 7 + 0 + 643 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64738116 + 5904900 = 8046^2 + 2430^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 13 ways as a sum of consecutive naturals, for example, 225 + ... + 11888.

Almost surely, 270643016 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 70643016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99304515).

70643016 is an abundant number, since it is smaller than the sum of its proper divisors (127966014).

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

70643016 is a wasteful number, since it uses less digits than its factorization.

70643016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70643016 is about 8404.9399759903. The cubic root of 70643016 is about 413.3866152841.

The spelling of 70643016 in words is "seventy million, six hundred forty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 12113 24226 36339 48452 72678 96904 109017 145356 218034 290712 327051 436068 654102 872136 981153 1308204 1962306 2616408 2943459 3924612 5886918 7849224 8830377 11773836 17660754 23547672 35321508 70643016