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680958976 = 2102329997
BaseRepresentation
bin101000100101101…
…001110000000000
31202110100022002211
4220211221300000
52343311141401
6151323151504
722606025065
oct5045516000
91673308084
10680958976
1131a424615
12170075594
13ab103609
146661cc6c
153ebb0951
hex28969c00

680958976 has 88 divisors (see below), whose sum is σ = 1470892320. Its totient is φ = 314130432.

The previous prime is 680958961. The next prime is 680958977. The reversal of 680958976 is 679859086.

It is a super-3 number, since 3×6809589763 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 680958976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680958977) 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, 682510 + ... + 683506.

Almost surely, 2680958976 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 680958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735446160).

680958976 is an abundant number, since it is smaller than the sum of its proper divisors (789933344).

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

680958976 is a wasteful number, since it uses less digits than its factorization.

680958976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The square root of 680958976 is about 26095.1906680139. The cubic root of 680958976 is about 879.7791181165.

The spelling of 680958976 in words is "six hundred eighty million, nine hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 512 667 736 928 997 1024 1334 1472 1856 1994 2668 2944 3712 3988 5336 5888 7424 7976 10672 11776 14848 15952 21344 22931 23552 28913 29696 31904 42688 45862 57826 63808 85376 91724 115652 127616 170752 183448 231304 255232 341504 366896 462608 510464 664999 683008 733792 925216 1020928 1329998 1467584 1850432 2659996 2935168 3700864 5319992 5870336 7401728 10639984 11740672 14803456 21279968 23481344 29606912 42559936 85119872 170239744 340479488 680958976