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104911680 = 26351031061
BaseRepresentation
bin1100100000011…
…01001101000000
321022102001202210
412100031031000
5203324133210
614224342120
72412506646
oct620151500
9238361683
10104911680
1154246775
122b174940
1318973323
14dd0d196
159324e20
hex640d340

104911680 has 112 divisors (see below), whose sum is σ = 336645504. Its totient is φ = 27678720.

The previous prime is 104911663. The next prime is 104911693. The reversal of 104911680 is 86119401.

It is a super-2 number, since 2×1049116802 = 22012921200844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 98350 + ... + 99410.

Almost surely, 2104911680 is an apocalyptic number.

104911680 is a gapful number since it is divisible by the number (10) 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 104911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168322752).

104911680 is an abundant number, since it is smaller than the sum of its proper divisors (231733824).

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

104911680 is a wasteful number, since it uses less digits than its factorization.

104911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 104911680 is about 10242.6402846141. The cubic root of 104911680 is about 471.6370857738.

The spelling of 104911680 in words is "one hundred four million, nine hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 309 320 412 480 515 618 824 960 1030 1061 1236 1545 1648 2060 2122 2472 3090 3183 3296 4120 4244 4944 5305 6180 6366 6592 8240 8488 9888 10610 12360 12732 15915 16480 16976 19776 21220 24720 25464 31830 32960 33952 42440 49440 50928 63660 67904 84880 98880 101856 109283 127320 169760 203712 218566 254640 327849 339520 437132 509280 546415 655698 874264 1018560 1092830 1311396 1639245 1748528 2185660 2622792 3278490 3497056 4371320 5245584 6556980 6994112 8742640 10491168 13113960 17485280 20982336 26227920 34970560 52455840 104911680