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104287638 = 23713409467
BaseRepresentation
bin1100011011101…
…00110110010110
321021020100202010
412031310312112
5203144201023
614203125050
72404300410
oct615646626
9237210663
10104287638
115395a934
122ab13786
13187b5280
14dbc99b0
159250093
hex6374d96

104287638 has 64 divisors (see below), whose sum is σ = 257886720. Its totient is φ = 27378432.

The previous prime is 104287621. The next prime is 104287643. The reversal of 104287638 is 836782401.

It is a super-2 number, since 2×1042876382 = 21751822879238088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104287596 and 104287605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223081 + ... + 223547.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 2104287638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104287638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128943360).

104287638 is an abundant number, since it is smaller than the sum of its proper divisors (153599082).

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

104287638 is a wasteful number, since it uses less digits than its factorization.

104287638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 104287638 is about 10212.1319027909. The cubic root of 104287638 is about 470.7000853905.

The spelling of 104287638 in words is "one hundred four million, two hundred eighty-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 409 467 546 818 934 1227 1401 2454 2802 2863 3269 5317 5726 6071 6538 8589 9807 10634 12142 15951 17178 18213 19614 31902 36426 37219 42497 74438 84994 111657 127491 191003 223314 254982 382006 573009 1146018 1337021 2483039 2674042 4011063 4966078 7449117 8022126 14898234 17381273 34762546 52143819 104287638