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676156680 = 233352332687
BaseRepresentation
bin101000010011010…
…101010100001000
31202010022022121000
4220103111110020
52341044003210
6151032215000
722520144163
oct5023252410
91663268530
10676156680
11317744581
1216a53a460
13aa111814
1465b2cada
153e562ac0
hex284d5508

676156680 has 128 divisors (see below), whose sum is σ = 2264371200. Its totient is φ = 179467776.

The previous prime is 676156673. The next prime is 676156693. The reversal of 676156680 is 86651676.

676156680 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 566 + 80 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 250297 + ... + 252983.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2676156680 is an apocalyptic number.

676156680 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 676156680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

676156680 is an abundant number, since it is smaller than the sum of its proper divisors (1588214520).

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

676156680 is a wasteful number, since it uses less digits than its factorization.

676156680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 676156680 is about 26003.0129023542. The cubic root of 676156680 is about 877.7060952103.

The spelling of 676156680 in words is "six hundred seventy-six million, one hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 233 270 360 466 540 699 932 1080 1165 1398 1864 2097 2330 2687 2796 3495 4194 4660 5374 5592 6291 6990 8061 8388 9320 10485 10748 12582 13435 13980 16122 16776 20970 21496 24183 25164 26870 27960 31455 32244 40305 41940 48366 50328 53740 62910 64488 72549 80610 83880 96732 107480 120915 125820 145098 161220 193464 241830 251640 290196 322440 362745 483660 580392 626071 725490 967320 1252142 1450980 1878213 2504284 2901960 3130355 3756426 5008568 5634639 6260710 7512852 9391065 11269278 12521420 15025704 16903917 18782130 22538556 25042840 28173195 33807834 37564260 45077112 56346390 67615668 75128520 84519585 112692780 135231336 169039170 225385560 338078340 676156680