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630936 = 233323127
BaseRepresentation
bin10011010000010011000
31012001111000
42122002120
5130142221
621305000
75235315
oct2320230
91161430
10630936
113a1039
12265160
13191247
14125d0c
15c6e26
hex9a098

630936 has 64 divisors (see below), whose sum is σ = 1843200. Its totient is φ = 199584.

The previous prime is 630919. The next prime is 630941. The reversal of 630936 is 639036.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

630936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4905 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2630936 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 630936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921600).

630936 is an abundant number, since it is smaller than the sum of its proper divisors (1212264).

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

630936 is a wasteful number, since it uses less digits than its factorization.

630936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 630936 is about 794.3147990564. The cubic root of 630936 is about 85.7686226897.

Subtracting 630936 from its reverse (639036), we obtain a square (8100 = 902).

The spelling of 630936 in words is "six hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 127 138 184 207 216 254 276 381 414 508 552 621 762 828 1016 1143 1242 1524 1656 2286 2484 2921 3048 3429 4572 4968 5842 6858 8763 9144 11684 13716 17526 23368 26289 27432 35052 52578 70104 78867 105156 157734 210312 315468 630936