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104507424 = 2532751839
BaseRepresentation
bin1100011101010…
…10100000100000
321021122112020100
412032222200200
5203223214144
614211542400
72406204240
oct616524040
9237575210
10104507424
1153a9aa7a
122abbaa00
1318861318
14dc45b20
159295269
hex63aa820

104507424 has 72 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 29858688.

The previous prime is 104507419. The next prime is 104507443. The reversal of 104507424 is 424705401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1045074242 = 21843603342231552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23904 + ... + 27935.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2104507424 is an apocalyptic number.

104507424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104507424 is an abundant number, since it is smaller than the sum of its proper divisors (235148256).

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

104507424 is a wasteful number, since it uses less digits than its factorization.

104507424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51862 (or 51851 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 104507424 is about 10222.8872633909. The cubic root of 104507424 is about 471.0305198826.

It can be divided in two parts, 104 and 507424, that added together give a triangular number (507528 = T1007).

The spelling of 104507424 in words is "one hundred four million, five hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 51839 103678 155517 207356 311034 362873 414712 466551 622068 725746 829424 933102 1088619 1244136 1451492 1658848 1866204 2177238 2488272 2902984 3265857 3732408 4354476 4976544 5805968 6531714 7464816 8708952 11611936 13063428 14929632 17417904 26126856 34835808 52253712 104507424