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631404136 = 23112719187
BaseRepresentation
bin100101101000100…
…111011001101000
31122000002122122101
4211220213121220
52243114413021
6142353103144
721434563246
oct4550473150
91560078571
10631404136
112a4458300
12157557ab4
13a0a72a1c
145dbdd796
153a672a91
hex25a27668

631404136 has 48 divisors (see below), whose sum is σ = 1319764320. Its totient is φ = 282928800.

The previous prime is 631404133. The next prime is 631404139.

631404136 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (631404133) and next prime (631404139).

It is not an unprimeable number, because it can be changed into a prime (631404133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64135 + ... + 73321.

It is an arithmetic number, because the mean of its divisors is an integer number (27495090).

Almost surely, 2631404136 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 631404136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659882160).

631404136 is an abundant number, since it is smaller than the sum of its proper divisors (688360184).

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

631404136 is a wasteful number, since it uses less digits than its factorization.

631404136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 631404136 is about 25127.7562866246. The cubic root of 631404136 is about 857.8983004596.

It can be divided in two parts, 63140 and 4136, that added together give a palindrome (67276).

The spelling of 631404136 in words is "six hundred thirty-one million, four hundred four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 71 88 121 142 242 284 484 568 781 968 1562 3124 6248 8591 9187 17182 18374 34364 36748 68728 73496 101057 202114 404228 652277 808456 1111627 1304554 2223254 2609108 4446508 5218216 7175047 8893016 14350094 28700188 57400376 78925517 157851034 315702068 631404136