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104675136 = 2633111753
BaseRepresentation
bin1100011110100…
…11011101000000
321021222001021220
412033103131000
5203244101021
614215315040
72410503216
oct617233500
9237861256
10104675136
11540a4a85
122b07ba80
13188bc767
14dc8acb6
1592c9cc6
hex63d3740

104675136 has 56 divisors (see below), whose sum is σ = 278001984. Its totient is φ = 34759680.

The previous prime is 104675119. The next prime is 104675143. The reversal of 104675136 is 631576401.

It is a junction number, because it is equal to n+sod(n) for n = 104675097 and 104675106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 58836 + ... + 60588.

Almost surely, 2104675136 is an apocalyptic number.

104675136 is a gapful number since it is divisible by the number (16) 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 104675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139000992).

104675136 is an abundant number, since it is smaller than the sum of its proper divisors (173326848).

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

104675136 is a wasteful number, since it uses less digits than its factorization.

104675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 104675136 is about 10231.0867457959. The cubic root of 104675136 is about 471.2823528694.

The spelling of 104675136 in words is "one hundred four million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1244 1753 1866 2488 3506 3732 4976 5259 7012 7464 9952 10518 14024 14928 19904 21036 28048 29856 42072 56096 59712 84144 112192 168288 336576 545183 1090366 1635549 2180732 3271098 4361464 6542196 8722928 13084392 17445856 26168784 34891712 52337568 104675136