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70364736 = 2632139397
BaseRepresentation
bin1000011000110…
…10111001000000
311220101220021100
410030122321000
5121003132421
610552054400
71513043001
oct414327100
9156356240
1070364736
11367a0082
121b694400
1311768850
1494b91a8
15629dc26
hex431ae40

70364736 has 84 divisors (see below), whose sum is σ = 217225372. Its totient is φ = 21648384.

The previous prime is 70364711. The next prime is 70364743. The reversal of 70364736 is 63746307.

70364736 is a `hidden beast` number, since 7 + 0 + 3 + 647 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 66585600 = 1944^2 + 8160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70364736.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2790 + ... + 12186.

Almost surely, 270364736 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 70364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108612686).

70364736 is an abundant number, since it is smaller than the sum of its proper divisors (146860636).

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

70364736 is a wasteful number, since it uses less digits than its factorization.

70364736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9428 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 70364736 is about 8388.3690905920. The cubic root of 70364736 is about 412.8430908686.

The spelling of 70364736 in words is "seventy million, three hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 9397 18794 28191 37588 56382 75176 84573 112764 122161 150352 169146 225528 244322 300704 338292 366483 451056 488644 601408 676584 732966 902112 977288 1099449 1353168 1465932 1804224 1954576 2198898 2706336 2931864 3909152 4397796 5412672 5863728 7818304 8795592 11727456 17591184 23454912 35182368 70364736