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630828036 = 223223097589
BaseRepresentation
bin100101100110011…
…010110000000100
31121222000101101100
4211212122300010
52242442444121
6142332500100
721426643536
oct4546326004
91558011340
10630828036
112a40a4493
1215731a630
13a0900737
145dacd856
153a5ac026
hex2599ac04

630828036 has 36 divisors (see below), whose sum is σ = 1595493900. Its totient is φ = 210157248.

The previous prime is 630828007. The next prime is 630828047.

630828036 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 220522500 + 410305536 = 14850^2 + 20256^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6308280362 = 795888022007234592, which contains 22 as substring.

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

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, 79330 + ... + 86918.

It is an arithmetic number, because the mean of its divisors is an integer number (44319275).

Almost surely, 2630828036 is an apocalyptic number.

It is an amenable number.

630828036 is an abundant number, since it is smaller than the sum of its proper divisors (964665864).

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

630828036 is a wasteful number, since it uses less digits than its factorization.

630828036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 630828036 is about 25116.2902515479. The cubic root of 630828036 is about 857.6373024848.

The spelling of 630828036 in words is "six hundred thirty million, eight hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2309 4618 6927 7589 9236 13854 15178 20781 22767 27708 30356 41562 45534 68301 83124 91068 136602 273204 17523001 35046002 52569003 70092004 105138006 157707009 210276012 315414018 630828036