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831019680 = 25325577097
BaseRepresentation
bin110001100010000…
…101101010100000
32010220201011200200
4301202011222200
53200220112210
6214243345200
726410356621
oct6142055240
92126634620
10831019680
113970a8427
121b2382200
1310322402a
147c521a48
154ce530c0
hex31885aa0

831019680 has 72 divisors (see below), whose sum is σ = 2835859572. Its totient is φ = 221604864.

The previous prime is 831019649. The next prime is 831019681. The reversal of 831019680 is 86910138.

It can be written as a sum of positive squares in 2 ways, for example, as 824608656 + 6411024 = 28716^2 + 2532^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (831019681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287109 + ... + 289988.

Almost surely, 2831019680 is an apocalyptic number.

831019680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

831019680 is an abundant number, since it is smaller than the sum of its proper divisors (2004839892).

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

831019680 is a wasteful number, since it uses less digits than its factorization.

831019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577118 (or 577107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 831019680 is about 28827.4119545963. The cubic root of 831019680 is about 940.1643292003.

The spelling of 831019680 in words is "eight hundred thirty-one million, nineteen thousand, six hundred eighty".

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 577097 1154194 1731291 2308388 2885485 3462582 4616776 5193873 5770970 6925164 8656455 9233552 10387746 11541940 13850328 17312910 18467104 20775492 23083880 25969365 27700656 34625820 41550984 46167760 51938730 55401312 69251640 83101968 92335520 103877460 138503280 166203936 207754920 277006560 415509840 831019680