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104500680 = 23351276857
BaseRepresentation
bin1100011101010…
…00110111001000
321021122011222120
412032220313020
5203223010210
614211451240
72406145464
oct616506710
9237564876
10104500680
1153a959a9
122abb6b20
131885b22b
14dc434a4
159293270
hex63a8dc8

104500680 has 64 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 27643392.

The previous prime is 104500679. The next prime is 104500729. The reversal of 104500680 is 86005401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104500680.

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 15 ways as a sum of consecutive naturals, for example, 11812 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2104500680 is an apocalyptic number.

104500680 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 104500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

104500680 is an abundant number, since it is smaller than the sum of its proper divisors (211515960).

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

104500680 is a wasteful number, since it uses less digits than its factorization.

104500680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 104500680 is about 10222.5574099635. The cubic root of 104500680 is about 471.0203875939.

The spelling of 104500680 in words is "one hundred four million, five hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 6857 7620 13714 15240 20571 27428 34285 41142 54856 68570 82284 102855 137140 164568 205710 274280 411420 822840 870839 1741678 2612517 3483356 4354195 5225034 6966712 8708390 10450068 13062585 17416780 20900136 26125170 34833560 52250340 104500680