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681958280 = 235231514909
BaseRepresentation
bin101000101001011…
…101101110001000
31202112020001220002
4220221131232020
52344040131110
6151400422132
722620356363
oct5051355610
91675201802
10681958280
1131aa47393
12170477948
13ab393413
14667dd0da
153ed0baa5
hex28a5db88

681958280 has 64 divisors (see below), whose sum is σ = 1612051200. Its totient is φ = 259142400.

The previous prime is 681958219. The next prime is 681958301. The reversal of 681958280 is 82859186.

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, 136466 + ... + 141374.

It is an arithmetic number, because the mean of its divisors is an integer number (25188300).

Almost surely, 2681958280 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 681958280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806025600).

681958280 is an abundant number, since it is smaller than the sum of its proper divisors (930092920).

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

681958280 is a wasteful number, since it uses less digits than its factorization.

681958280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5094 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 47.

The square root of 681958280 is about 26114.3309315020. The cubic root of 681958280 is about 880.2092649709.

It can be divided in two parts, 68 and 1958280, that multiplied together give a triangular number (133163040 = T16319).

The spelling of 681958280 in words is "six hundred eighty-one million, nine hundred fifty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 151 184 230 302 460 604 755 920 1208 1510 3020 3473 4909 6040 6946 9818 13892 17365 19636 24545 27784 34730 39272 49090 69460 98180 112907 138920 196360 225814 451628 564535 741259 903256 1129070 1482518 2258140 2965036 3706295 4516280 5930072 7412590 14825180 17048957 29650360 34097914 68195828 85244785 136391656 170489570 340979140 681958280