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104590528 = 2671731443
BaseRepresentation
bin1100011101111…
…10110011000000
321021210202020021
412032332303000
5203233344103
614213423224
72410001440
oct616766300
9237722207
10104590528
1154047459
122b03ab14
13188900b3
14dc68120
1592aebbd
hex63becc0

104590528 has 112 divisors (see below), whose sum is σ = 259835904. Its totient is φ = 40734720.

The previous prime is 104590523. The next prime is 104590529. The reversal of 104590528 is 825095401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 104590493 and 104590502.

It is not an unprimeable number, because it can be changed into a prime (104590523) 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, 235875 + ... + 236317.

Almost surely, 2104590528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104590528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129917952).

104590528 is an abundant number, since it is smaller than the sum of its proper divisors (155245376).

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

104590528 is a wasteful number, since it uses less digits than its factorization.

104590528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 104590528 is about 10226.9510608001. The cubic root of 104590528 is about 471.1553408364.

The spelling of 104590528 in words is "one hundred four million, five hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 136 217 224 238 248 272 434 443 448 476 496 527 544 868 886 952 992 1054 1088 1736 1772 1904 1984 2108 3101 3472 3544 3689 3808 4216 6202 6944 7088 7378 7531 7616 8432 12404 13733 13888 14176 14756 15062 16864 24808 27466 28352 29512 30124 33728 49616 52717 54932 59024 60248 96131 99232 105434 109864 118048 120496 192262 198464 210868 219728 233461 236096 240992 384524 421736 439456 466922 481984 769048 843472 878912 933844 1538096 1634227 1686944 1867688 3076192 3268454 3373888 3735376 6152384 6536908 7470752 13073816 14941504 26147632 52295264 104590528