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631493640 = 233252696521
BaseRepresentation
bin100101101000111…
…101010000001000
31122000021012102100
4211220331100020
52243130244030
6142355033400
721435415221
oct4550752010
91560235370
10631493640
112a4509578
1215759b860
13a0aa469b
145dc24248
153a68e360
hex25a3d408

631493640 has 96 divisors (see below), whose sum is σ = 2060299800. Its totient is φ = 167746560.

The previous prime is 631493623. The next prime is 631493641. The reversal of 631493640 is 46394136.

631493640 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 9 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 501670404 + 129823236 = 22398^2 + 11394^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 631493595 and 631493604.

It is not an unprimeable number, because it can be changed into a prime (631493641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93580 + ... + 100100.

Almost surely, 2631493640 is an apocalyptic number.

631493640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631493640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030149900).

631493640 is an abundant number, since it is smaller than the sum of its proper divisors (1428806160).

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

631493640 is a wasteful number, since it uses less digits than its factorization.

631493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 631493640 is about 25129.5372022646. The cubic root of 631493640 is about 857.9388353549.

The spelling of 631493640 in words is "six hundred thirty-one million, four hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 6521 8070 9684 10760 12105 13042 16140 19368 19563 24210 26084 32280 32605 39126 48420 52168 58689 65210 78252 96840 97815 117378 130420 156504 195630 234756 260840 293445 391260 469512 586890 782520 1173780 1754149 2347560 3508298 5262447 7016596 8770745 10524894 14033192 15787341 17541490 21049788 26312235 31574682 35082980 42099576 52624470 63149364 70165960 78936705 105248940 126298728 157873410 210497880 315746820 631493640