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631039680 = 2633573037
BaseRepresentation
bin100101100111001…
…110011011000000
31121222102010201000
4211213032123000
52243021232210
6142341212000
721431514555
oct4547163300
91558363630
10631039680
112a42294a7
12157401000
13a0975b7b
145db46a2c
153a5eeac0
hex259ce6c0

631039680 has 112 divisors (see below), whose sum is σ = 2226198240. Its totient is φ = 168274944.

The previous prime is 631039657. The next prime is 631039687. The reversal of 631039680 is 86930136.

It is a happy number.

It is a super-2 number, since 2×6310396802 = 796422155469004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (631039687) 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, 27879 + ... + 45158.

It is an arithmetic number, because the mean of its divisors is an integer number (19876770).

Almost surely, 2631039680 is an apocalyptic number.

631039680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

631039680 is an abundant number, since it is smaller than the sum of its proper divisors (1595158560).

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

631039680 is a wasteful number, since it uses less digits than its factorization.

631039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73063 (or 73047 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 631039680 is about 25120.5031796738. The cubic root of 631039680 is about 857.7332047399.

The spelling of 631039680 in words is "six hundred thirty-one million, thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 73037 146074 219111 292148 365185 438222 584296 657333 730370 876444 1095555 1168592 1314666 1460740 1752888 1971999 2191110 2337184 2629332 2921480 3286665 3505776 3943998 4382220 4674368 5258664 5842960 6573330 7011552 7887996 8764440 9859995 10517328 11685920 13146660 14023104 15775992 17528880 19719990 21034656 23371840 26293320 31551984 35057760 39439980 42069312 52586640 63103968 70115520 78879960 105173280 126207936 157759920 210346560 315519840 631039680