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630787104 = 25322190233
BaseRepresentation
bin100101100110010…
…000110000100000
31121221221022020100
4211212100300200
52242440141404
6142331542400
721426413313
oct4546206040
91557838210
10630787104
112a4076762
121572baa00
13a08b7c0c
145dabc97a
153a59ed39
hex25990c20

630787104 has 36 divisors (see below), whose sum is σ = 1793801646. Its totient is φ = 210262272.

The previous prime is 630787103. The next prime is 630787127. The reversal of 630787104 is 401787036.

630787104 is a `hidden beast` number, since 630 + 7 + 8 + 7 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 590490000 + 40297104 = 24300^2 + 6348^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (630787103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1094829 + ... + 1095404.

Almost surely, 2630787104 is an apocalyptic number.

It is an amenable number.

630787104 is an abundant number, since it is smaller than the sum of its proper divisors (1163014542).

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

630787104 is a wasteful number, since it uses less digits than its factorization.

630787104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190249 (or 2190238 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 630787104 is about 25115.4753886921. The cubic root of 630787104 is about 857.6187524906.

The spelling of 630787104 in words is "six hundred thirty million, seven hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2190233 4380466 6570699 8760932 13141398 17521864 19712097 26282796 35043728 39424194 52565592 70087456 78848388 105131184 157696776 210262368 315393552 630787104