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632764680 = 233533715647
BaseRepresentation
bin100101101101110…
…011100100001000
31122002122202221220
4211231303210020
52243441432210
6142442202040
721452260662
oct4555634410
91562582856
10632764680
112a51a7519
12157ab3320
13a112b092
1460075532
153a840c70
hex25b73908

632764680 has 64 divisors (see below), whose sum is σ = 1904048640. Its totient is φ = 168225792.

The previous prime is 632764679. The next prime is 632764711. The reversal of 632764680 is 86467236.

It is a super-2 number, since 2×6327646802 = 800782280511004800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32617 + ... + 48263.

It is an arithmetic number, because the mean of its divisors is an integer number (29750760).

Almost surely, 2632764680 is an apocalyptic number.

632764680 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 632764680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952024320).

632764680 is an abundant number, since it is smaller than the sum of its proper divisors (1271283960).

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

632764680 is a wasteful number, since it uses less digits than its factorization.

632764680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 632764680 is about 25154.8142509540. The cubic root of 632764680 is about 858.5140555984.

The spelling of 632764680 in words is "six hundred thirty-two million, seven hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 10110 13480 15647 20220 31294 40440 46941 62588 78235 93882 125176 156470 187764 234705 312940 375528 469410 625880 938820 1877640 5273039 10546078 15819117 21092156 26365195 31638234 42184312 52730390 63276468 79095585 105460780 126552936 158191170 210921560 316382340 632764680