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679856940 = 223257677797
BaseRepresentation
bin101000100001011…
…100101100101100
31202101021022101200
4220201130230230
52343020410230
6151243405500
722563455130
oct5041345454
91671238350
10679856940
11319841644
1216b823890
13aab08b19
14664133c0
153ea44160
hex2885cb2c

679856940 has 144 divisors (see below), whose sum is σ = 2363280192. Its totient is φ = 154971648.

The previous prime is 679856909. The next prime is 679856963. The reversal of 679856940 is 49658976.

679856940 is a `hidden beast` number, since 6 + 79 + 8 + 569 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 852622 + ... + 853418.

It is an arithmetic number, because the mean of its divisors is an integer number (16411668).

Almost surely, 2679856940 is an apocalyptic number.

679856940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679856940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181640096).

679856940 is an abundant number, since it is smaller than the sum of its proper divisors (1683423252).

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

679856940 is a wasteful number, since it uses less digits than its factorization.

679856940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 679856940 is about 26074.0664262405. The cubic root of 679856940 is about 879.3042624151.

The spelling of 679856940 in words is "six hundred seventy-nine million, eight hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 677 797 1260 1354 1594 2031 2391 2708 3188 3385 3985 4062 4739 4782 5579 6093 6770 7173 7970 8124 9478 9564 10155 11158 11955 12186 13540 14217 14346 15940 16737 18956 20310 22316 23695 23910 24372 27895 28434 28692 30465 33474 35865 40620 42651 47390 47820 50211 55790 56868 60930 66948 71085 71730 83685 85302 94780 100422 111580 121860 142170 143460 167370 170604 200844 213255 251055 284340 334740 426510 502110 539569 853020 1004220 1079138 1618707 2158276 2697845 3237414 3776983 4856121 5395690 6474828 7553966 8093535 9712242 10791380 11330949 15107932 16187070 18884915 19424484 22661898 24280605 32374140 33992847 37769830 45323796 48561210 56654745 67985694 75539660 97122420 113309490 135971388 169964235 226618980 339928470 679856940