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104738660 = 22513974153
BaseRepresentation
bin1100011111000…
…10111101100100
321022002021102122
412033202331210
5203303114120
614220525112
72411156345
oct617427544
9238067378
10104738660
1154138784
122b0b0798
1318912650
14dca60cc
1592dda25
hex63e2f64

104738660 has 48 divisors (see below), whose sum is σ = 239370096. Its totient is φ = 38264832.

The previous prime is 104738657. The next prime is 104738761. The reversal of 104738660 is 66837401.

It can be written as a sum of positive squares in 8 ways, for example, as 36312676 + 68425984 = 6026^2 + 8272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104738660.

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, 23144 + ... + 27296.

It is an arithmetic number, because the mean of its divisors is an integer number (4986877).

Almost surely, 2104738660 is an apocalyptic number.

104738660 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 104738660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119685048).

104738660 is an abundant number, since it is smaller than the sum of its proper divisors (134631436).

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

104738660 is a wasteful number, since it uses less digits than its factorization.

104738660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 104738660 is about 10234.1907349824. The cubic root of 104738660 is about 471.3776689979.

The spelling of 104738660 in words is "one hundred four million, seven hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 4153 5044 6305 8306 12610 16612 20765 25220 41530 53989 83060 107978 215956 269945 402841 539890 805682 1079780 1611364 2014205 4028410 5236933 8056820 10473866 20947732 26184665 52369330 104738660