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679976960 = 2135131277
BaseRepresentation
bin101000100001111…
…010000000000000
31202101111102000212
4220201322000000
52343033230320
6151250133252
722564465055
oct5041720000
91671442025
10679976960
11319913833
1216b881228
13aab4b640
146644502c
153ea699c5
hex2887a000

679976960 has 112 divisors (see below), whose sum is σ = 1758747816. Its totient is φ = 250871808.

The previous prime is 679976953. The next prime is 679976963. The reversal of 679976960 is 69679976.

It can be written as a sum of positive squares in 4 ways, for example, as 476286976 + 203689984 = 21824^2 + 14272^2 .

It is a super-2 number, since 2×6799769602 = 924737332261683200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 679976960.

It is not an unprimeable number, because it can be changed into a prime (679976963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531842 + ... + 533118.

Almost surely, 2679976960 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 679976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879373908).

679976960 is an abundant number, since it is smaller than the sum of its proper divisors (1078770856).

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

679976960 is a wasteful number, since it uses less digits than its factorization.

679976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 59.

The square root of 679976960 is about 26076.3678452349. The cubic root of 679976960 is about 879.3560026571.

The spelling of 679976960 in words is "six hundred seventy-nine million, nine hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1277 1280 1664 2048 2080 2554 2560 3328 4096 4160 5108 5120 6385 6656 8192 8320 10216 10240 12770 13312 16601 16640 20432 20480 25540 26624 33202 33280 40864 40960 51080 53248 66404 66560 81728 83005 102160 106496 132808 133120 163456 166010 204320 265616 266240 326912 332020 408640 531232 532480 653824 664040 817280 1062464 1307648 1328080 1634560 2124928 2615296 2656160 3269120 4249856 5230592 5312320 6538240 8499712 10461184 10624640 13076480 16999424 21249280 26152960 33998848 42498560 52305920 67997696 84997120 135995392 169994240 339988480 679976960