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631163680 = 2557653863
BaseRepresentation
bin100101100111101…
…100101100100000
31121222122102210121
4211213230230200
52243034214210
6142344010024
721432542230
oct4547545440
91558572717
10631163680
112a4303684
12157460914
13a09ba444
145db79cc0
153a6266da
hex259ecb20

631163680 has 96 divisors (see below), whose sum is σ = 1708729344. Its totient is φ = 215817216.

The previous prime is 631163669. The next prime is 631163683. The reversal of 631163680 is 86361136.

It is a happy number.

It is a super-2 number, since 2×6311636802 = 796735181902284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (631163683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730929 + ... + 731791.

It is an arithmetic number, because the mean of its divisors is an integer number (17799264).

Almost surely, 2631163680 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 631163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854364672).

631163680 is an abundant number, since it is smaller than the sum of its proper divisors (1077565664).

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

631163680 is a wasteful number, since it uses less digits than its factorization.

631163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 631163680 is about 25122.9711618670. The cubic root of 631163680 is about 857.7893829037.

The spelling of 631163680 in words is "six hundred thirty-one million, one hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 653 863 1120 1306 1726 2612 3265 3452 4315 4571 5224 6041 6530 6904 8630 9142 10448 12082 13060 13808 17260 18284 20896 22855 24164 26120 27616 30205 34520 36568 45710 48328 52240 60410 69040 73136 91420 96656 104480 120820 138080 146272 182840 193312 241640 365680 483280 563539 731360 966560 1127078 2254156 2817695 3944773 4508312 5635390 7889546 9016624 11270780 15779092 18033248 19723865 22541560 31558184 39447730 45083120 63116368 78895460 90166240 126232736 157790920 315581840 631163680