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102409008 = 24313164117
BaseRepresentation
bin1100001101010…
…10001100110000
321010200220202020
412012222030300
5202204042013
614054551440
72352314352
oct606521460
9233626666
10102409008
1152897449
122a368580
13182a8160
14d85b0d2
158ecd623
hex61aa330

102409008 has 40 divisors (see below), whose sum is σ = 284908848. Its totient is φ = 31510272.

The previous prime is 102409001. The next prime is 102409009. The reversal of 102409008 is 800904201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102409001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81435 + ... + 82682.

Almost surely, 2102409008 is an apocalyptic number.

It is an amenable number.

102409008 is an abundant number, since it is smaller than the sum of its proper divisors (182499840).

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

102409008 is a wasteful number, since it uses less digits than its factorization.

102409008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164141 (or 164135 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102409008 is about 10119.7335933314. The cubic root of 102409008 is about 467.8565562284.

The spelling of 102409008 in words is "one hundred two million, four hundred nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 164117 328234 492351 656468 984702 1312936 1969404 2133521 2625872 3938808 4267042 6400563 7877616 8534084 12801126 17068168 25602252 34136336 51204504 102409008