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630564 = 2231117281
BaseRepresentation
bin10011001111100100100
31012000222020
42121330210
5130134224
621303140
75234244
oct2317444
91160866
10630564
113a0830
12264ab0
1319101c
14125b24
15c6c79
hex99f24

630564 has 48 divisors (see below), whose sum is σ = 1705536. Its totient is φ = 179200.

The previous prime is 630559. The next prime is 630577. The reversal of 630564 is 465036.

630564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6305642 = 795221916192, which contains 22 as substring.

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, 2104 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (35532).

2630564 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 630564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768).

630564 is an abundant number, since it is smaller than the sum of its proper divisors (1074972).

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

630564 is a wasteful number, since it uses less digits than its factorization.

630564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 630564 is about 794.0806004431. The cubic root of 630564 is about 85.7517629763.

The spelling of 630564 in words is "six hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 281 374 561 562 748 843 1122 1124 1686 2244 3091 3372 4777 6182 9273 9554 12364 14331 18546 19108 28662 37092 52547 57324 105094 157641 210188 315282 630564