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104068680 = 23355316363
BaseRepresentation
bin1100011001111…
…11011001001000
321020211020101120
412030333121020
5203120144210
614154315240
72402366142
oct614773110
9236736346
10104068680
1153820381
122aa28b20
1318739701
14db6dc92
15920a270
hex633f648

104068680 has 64 divisors (see below), whose sum is σ = 318116160. Its totient is φ = 27226368.

The previous prime is 104068667. The next prime is 104068687. The reversal of 104068680 is 86860401.

It is not an unprimeable number, because it can be changed into a prime (104068687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822 + ... + 14541.

It is an arithmetic number, because the mean of its divisors is an integer number (4970565).

Almost surely, 2104068680 is an apocalyptic number.

104068680 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 104068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159058080).

104068680 is an abundant number, since it is smaller than the sum of its proper divisors (214047480).

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

104068680 is a wasteful number, since it uses less digits than its factorization.

104068680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16430 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 104068680 is about 10201.4057854788. The cubic root of 104068680 is about 470.3704337819.

The spelling of 104068680 in words is "one hundred four million, sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 16363 32726 49089 65452 81815 98178 130904 163630 196356 245445 327260 392712 490890 654520 867239 981780 1734478 1963560 2601717 3468956 4336195 5203434 6937912 8672390 10406868 13008585 17344780 20813736 26017170 34689560 52034340 104068680