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630112400 = 24521575281
BaseRepresentation
bin100101100011101…
…100000010010000
31121220200000201022
4211203230002100
52242302044100
6142305255012
721420603251
oct4543540220
91556600638
10630112400
112a3755855
12157034468
13a070ca98
145d984b28
153a4b9e85
hex258ec090

630112400 has 30 divisors (see below), whose sum is σ = 1513846002. Its totient is φ = 252044800.

The previous prime is 630112397. The next prime is 630112423. The reversal of 630112400 is 4211036.

It can be written as a sum of positive squares in 3 ways, for example, as 219158416 + 410953984 = 14804^2 + 20272^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 787241 + ... + 788040.

Almost surely, 2630112400 is an apocalyptic number.

It is an amenable number.

630112400 is an abundant number, since it is smaller than the sum of its proper divisors (883733602).

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

630112400 is a wasteful number, since it uses less digits than its factorization.

630112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575299 (or 1575288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 630112400 is about 25102.0397577567. The cubic root of 630112400 is about 857.3128673353.

Adding to 630112400 its reverse (4211036), we get a palindrome (634323436).

The spelling of 630112400 in words is "six hundred thirty million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1575281 3150562 6301124 7876405 12602248 15752810 25204496 31505620 39382025 63011240 78764050 126022480 157528100 315056200 630112400