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630270072 = 2336671613
BaseRepresentation
bin100101100100010…
…010100001111000
31121220222001000000
4211210102201320
52242322120242
6142312513000
721422131035
oct4544224170
91556861000
10630270072
112a3853263
121570ab760
13a0766793
145d9c638c
153a4eba4c
hex25912878

630270072 has 112 divisors (see below), whose sum is σ = 1799384040. Its totient is φ = 206826048.

The previous prime is 630270061. The next prime is 630270089. The reversal of 630270072 is 270072036.

630270072 is a `hidden beast` number, since 630 + 27 + 0 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 389938 + ... + 391550.

Almost surely, 2630270072 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 630270072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899692020).

630270072 is an abundant number, since it is smaller than the sum of its proper divisors (1169113968).

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

630270072 is a wasteful number, since it uses less digits than its factorization.

630270072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 630270072 is about 25105.1801825838. The cubic root of 630270072 is about 857.3843693727.

The spelling of 630270072 in words is "six hundred thirty million, two hundred seventy thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 162 201 216 243 268 324 402 486 536 603 648 729 804 972 1206 1458 1608 1613 1809 1944 2412 2916 3226 3618 4824 4839 5427 5832 6452 7236 9678 10854 12904 14472 14517 16281 19356 21708 29034 32562 38712 43416 43551 48843 58068 65124 87102 97686 108071 116136 130248 130653 174204 195372 216142 261306 324213 348408 390744 391959 432284 522612 648426 783918 864568 972639 1045224 1175877 1296852 1567836 1945278 2351754 2593704 2917917 3135672 3890556 4703508 5835834 7781112 8753751 9407016 11671668 17507502 23343336 26261253 35015004 52522506 70030008 78783759 105045012 157567518 210090024 315135036 630270072