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630912 = 2733153
BaseRepresentation
bin10011010000010000000
31012001110010
42122002000
5130142122
621304520
75235252
oct2320200
91161403
10630912
113a1017
12265140
13191229
14125cd2
15c6e0c
hex9a080

630912 has 64 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 199680.

The previous prime is 630911. The next prime is 630919. The reversal of 630912 is 219036.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (630911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11878 + ... + 11930.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2630912 is an apocalyptic number.

630912 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881280).

630912 is an abundant number, since it is smaller than the sum of its proper divisors (1131648).

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

630912 is a wasteful number, since it uses less digits than its factorization.

630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 630912 is about 794.2996915523. The cubic root of 630912 is about 85.7675351662.

Adding to 630912 its reverse (219036), we get a palindrome (849948).

The spelling of 630912 in words is "six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 318 372 384 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3968 4929 5088 5952 6572 6784 9858 10176 11904 13144 19716 20352 26288 39432 52576 78864 105152 157728 210304 315456 630912