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630952632 = 233322313099
BaseRepresentation
bin100101100110111…
…001001010111000
31121222020201022000
4211212321022320
52243010441012
6142335301000
721431003022
oct4546711270
91558221260
10630952632
112a417a062
1215737a760
13a094536b
145db23012
153a5d3ddc
hex259b92b8

630952632 has 64 divisors (see below), whose sum is σ = 1760640000. Its totient is φ = 209358432.

The previous prime is 630952613. The next prime is 630952643. The reversal of 630952632 is 236259036.

630952632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41619 + ... + 54717.

It is an arithmetic number, because the mean of its divisors is an integer number (27510000).

Almost surely, 2630952632 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 630952632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880320000).

630952632 is an abundant number, since it is smaller than the sum of its proper divisors (1129687368).

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

630952632 is a wasteful number, since it uses less digits than its factorization.

630952632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13337 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 630952632 is about 25118.7705113128. The cubic root of 630952632 is about 857.6937632722.

The spelling of 630952632 in words is "six hundred thirty million, nine hundred fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 446 669 892 1338 1784 2007 2676 4014 5352 6021 8028 12042 13099 16056 24084 26198 39297 48168 52396 78594 104792 117891 157188 235782 314376 353673 471564 707346 943128 1414692 2829384 2921077 5842154 8763231 11684308 17526462 23368616 26289693 35052924 52579386 70105848 78869079 105158772 157738158 210317544 315476316 630952632