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680955984 = 243679739
BaseRepresentation
bin101000100101101…
…001000001010000
31202110100011000000
4220211221001100
52343311042414
6151323130000
722606013262
oct5045510120
91673304000
10680955984
1131a422345
12170073900
13ab102147
146661bb32
153ebaeb09
hex28969050

680955984 has 140 divisors (see below), whose sum is σ = 2005873600. Its totient is φ = 223808832.

The previous prime is 680955983. The next prime is 680956019. The reversal of 680955984 is 489559086.

It is a happy number.

680955984 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 559 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 680955984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680955983) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 921087 + ... + 921825.

Almost surely, 2680955984 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 680955984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002936800).

680955984 is an abundant number, since it is smaller than the sum of its proper divisors (1324917616).

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

680955984 is an equidigital number, since it uses as much as digits as its factorization.

680955984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 680955984 is about 26095.1333393796. The cubic root of 680955984 is about 879.7778295891. Note that the first 3 decimals are identical.

The spelling of 680955984 in words is "six hundred eighty million, nine hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 729 739 948 972 1264 1296 1422 1458 1478 1896 1944 2133 2217 2844 2916 2956 3792 3888 4266 4434 5688 5832 5912 6399 6651 8532 8868 11376 11664 11824 12798 13302 17064 17736 19197 19953 25596 26604 34128 35472 38394 39906 51192 53208 57591 58381 59859 76788 79812 102384 106416 115182 116762 119718 153576 159624 175143 179577 230364 233524 239436 307152 319248 350286 359154 460728 467048 478872 525429 538731 700572 718308 921456 934096 957744 1050858 1077462 1401144 1436616 1576287 2101716 2154924 2802288 2873232 3152574 4203432 4309848 4728861 6305148 8406864 8619696 9457722 12610296 14186583 18915444 25220592 28373166 37830888 42559749 56746332 75661776 85119498 113492664 170238996 226985328 340477992 680955984