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631136 = 25112163
BaseRepresentation
bin10011010000101100000
31012001202102
42122011200
5130144021
621305532
75236022
oct2320540
91161672
10631136
113a1200
122652a8
1319136c
14126012
15c700b
hex9a160

631136 has 36 divisors (see below), whose sum is σ = 1374156. Its totient is φ = 285120.

The previous prime is 631133. The next prime is 631139.

631136 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (631133) and next prime (631139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631133) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3791 + ... + 3953.

It is an arithmetic number, because the mean of its divisors is an integer number (38171).

2631136 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 631136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687078).

631136 is an abundant number, since it is smaller than the sum of its proper divisors (743020).

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

631136 is a wasteful number, since it uses less digits than its factorization.

631136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 176 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 631136 is about 794.4406837518. The cubic root of 631136 is about 85.7776843126. Note that the first 3 decimals are identical.

It can be divided in two parts, 631 and 136, that added together give a palindrome (767).

The spelling of 631136 in words is "six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 163 176 242 326 352 484 652 968 1304 1793 1936 2608 3586 3872 5216 7172 14344 19723 28688 39446 57376 78892 157784 315568 631136