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631040136 = 233174335969
BaseRepresentation
bin100101100111001…
…110100010001000
31121222102011022220
4211213032202020
52243021241021
6142341214040
721431516106
oct4547164210
91558364286
10631040136
112a4229881
12157401320
13a097613c
145db46c76
153a5eecc6
hex259ce888

631040136 has 64 divisors (see below), whose sum is σ = 1709294400. Its totient is φ = 193363968.

The previous prime is 631040129. The next prime is 631040147.

631040136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 35528.

It is an arithmetic number, because the mean of its divisors is an integer number (26707725).

Almost surely, 2631040136 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 631040136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854647200).

631040136 is an abundant number, since it is smaller than the sum of its proper divisors (1078254264).

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

631040136 is a wasteful number, since it uses less digits than its factorization.

631040136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36038 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 631040136 is about 25120.5122559234. The cubic root of 631040136 is about 857.7334113440.

The spelling of 631040136 in words is "six hundred thirty-one million, forty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2193 2924 4386 5848 8772 17544 35969 71938 107907 143876 215814 287752 431628 611473 863256 1222946 1546667 1834419 2445892 3093334 3668838 4640001 4891784 6186668 7337676 9280002 12373336 14675352 18560004 26293339 37120008 52586678 78880017 105173356 157760034 210346712 315520068 631040136