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630561460 = 225433472113
BaseRepresentation
bin100101100101011…
…001101010110100
31121221111211201011
4211211121222310
52242410431320
6142323042004
721424453414
oct4545315264
91557454634
10630561460
112a3a32181
12157210304
13a08392b9
145da60644
153a55805a
hex25959ab4

630561460 has 48 divisors (see below), whose sum is σ = 1359521856. Its totient is φ = 245532672.

The previous prime is 630561457. The next prime is 630561461. The reversal of 630561460 is 64165036.

630561460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630561461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297364 + ... + 299476.

It is an arithmetic number, because the mean of its divisors is an integer number (28323372).

Almost surely, 2630561460 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 630561460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679760928).

630561460 is an abundant number, since it is smaller than the sum of its proper divisors (728960396).

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

630561460 is a wasteful number, since it uses less digits than its factorization.

630561460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 630561460 is about 25110.9828561130. The cubic root of 630561460 is about 857.5164783614.

It can be divided in two parts, 63056 and 1460, that added together give a square (64516 = 2542).

The spelling of 630561460 in words is "six hundred thirty million, five hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 347 430 694 860 1388 1735 2113 3470 4226 6940 8452 10565 14921 21130 29842 42260 59684 74605 90859 149210 181718 298420 363436 454295 733211 908590 1466422 1817180 2932844 3666055 7332110 14664220 31528073 63056146 126112292 157640365 315280730 630561460