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104119632 = 2432723053
BaseRepresentation
bin1100011010010…
…11110101010000
321020220211021200
412031023311100
5203123312012
614155351200
72403000531
oct615136520
9236824250
10104119632
1153855691
122aa52500
1318756966
14db84688
15921a3dc
hex634bd50

104119632 has 30 divisors (see below), whose sum is σ = 291390762. Its totient is φ = 34706496.

The previous prime is 104119627. The next prime is 104119661. The reversal of 104119632 is 236911401.

104119632 is a `hidden beast` number, since 10 + 4 + 1 + 19 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89189136 + 14930496 = 9444^2 + 3864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104119596 and 104119605.

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 5 ways as a sum of consecutive naturals, for example, 361383 + ... + 361670.

Almost surely, 2104119632 is an apocalyptic number.

104119632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104119632 is an abundant number, since it is smaller than the sum of its proper divisors (187271130).

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

104119632 is a wasteful number, since it uses less digits than its factorization.

104119632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723067 (or 723058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104119632 is about 10203.9027827592. The cubic root of 104119632 is about 470.4471856734.

The spelling of 104119632 in words is "one hundred four million, one hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 723053 1446106 2169159 2892212 4338318 5784424 6507477 8676636 11568848 13014954 17353272 26029908 34706544 52059816 104119632