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104900760 = 233252111381
BaseRepresentation
bin1100100000010…
…10100010011000
321022101111210100
412100022202120
5203323311020
614224215400
72412433056
oct620124230
9238344710
10104900760
1154239548
122b16a560
131896b373
14dd091d6
159321a90
hex640a898

104900760 has 96 divisors (see below), whose sum is σ = 342791280. Its totient is φ = 27820800.

The previous prime is 104900749. The next prime is 104900773. The reversal of 104900760 is 67009401.

It is a super-2 number, since 2×1049007602 = 22008338897155200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75270 + ... + 76650.

Almost surely, 2104900760 is an apocalyptic number.

104900760 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 104900760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171395640).

104900760 is an abundant number, since it is smaller than the sum of its proper divisors (237890520).

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

104900760 is a wasteful number, since it uses less digits than its factorization.

104900760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 104900760 is about 10242.1072050628. The cubic root of 104900760 is about 471.6207213560.

The spelling of 104900760 in words is "one hundred four million, nine hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1381 1688 1899 2110 2532 2762 3165 3798 4143 4220 5064 5524 6330 6905 7596 8286 8440 9495 11048 12429 12660 13810 15192 16572 18990 20715 24858 25320 27620 33144 37980 41430 49716 55240 62145 75960 82860 99432 124290 165720 248580 291391 497160 582782 874173 1165564 1456955 1748346 2331128 2622519 2913910 3496692 4370865 5245038 5827820 6993384 8741730 10490076 11655640 13112595 17483460 20980152 26225190 34966920 52450380 104900760