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681348960 = 25325473159
BaseRepresentation
bin101000100111001…
…000111101100000
31202111002010001200
4220213020331200
52343411131320
6151335401200
722612241055
oct5047107540
91674063050
10681348960
1131a670616
12170223200
13ab20bc86
14666c102c
153ec3b290
hex289c8f60

681348960 has 72 divisors (see below), whose sum is σ = 2325108240. Its totient is φ = 181692672.

The previous prime is 681348953. The next prime is 681348991. The reversal of 681348960 is 69843186.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235140 + ... + 238019.

It is an arithmetic number, because the mean of its divisors is an integer number (32293170).

Almost surely, 2681348960 is an apocalyptic number.

681348960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681348960 is an abundant number, since it is smaller than the sum of its proper divisors (1643759280).

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

681348960 is a wasteful number, since it uses less digits than its factorization.

681348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473180 (or 473169 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 681348960 is about 26102.6619332205. The cubic root of 681348960 is about 879.9470353798.

The spelling of 681348960 in words is "six hundred eighty-one million, three hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 473159 946318 1419477 1892636 2365795 2838954 3785272 4258431 4731590 5677908 7097385 7570544 8516862 9463180 11355816 14194770 15141088 17033724 18926360 21292155 22711632 28389540 34067448 37852720 42584310 45423264 56779080 68134896 75705440 85168620 113558160 136269792 170337240 227116320 340674480 681348960