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104239928 = 23131971743
BaseRepresentation
bin1100011011010…
…01001100111000
321021010221022002
412031221030320
5203141134203
614202120132
72404011332
oct615511470
9237127262
10104239928
1153928001
122aab0048
1318799640
14dbb6452
159240d88
hex6369338

104239928 has 64 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 44876160.

The previous prime is 104239913. The next prime is 104239931. The reversal of 104239928 is 829932401.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 104239891 and 104239900.

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 15 ways as a sum of consecutive naturals, for example, 139925 + ... + 140667.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2104239928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104239928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

104239928 is an abundant number, since it is smaller than the sum of its proper divisors (120745672).

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

104239928 is a wasteful number, since it uses less digits than its factorization.

104239928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 104239928 is about 10209.7956884553. The cubic root of 104239928 is about 470.6282950775.

The spelling of 104239928 in words is "one hundred four million, two hundred thirty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 71 76 104 142 152 247 284 494 568 743 923 988 1349 1486 1846 1976 2698 2972 3692 5396 5944 7384 9659 10792 14117 17537 19318 28234 35074 38636 52753 56468 70148 77272 105506 112936 140296 183521 211012 367042 422024 685789 734084 1002307 1371578 1468168 2004614 2743156 4009228 5486312 8018456 13029991 26059982 52119964 104239928