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104131808 = 2511291012
BaseRepresentation
bin1100011010011…
…10110011100000
321020221102222122
412031032303200
5203124204213
614155523412
72403051164
oct615166340
9236842878
10104131808
1153863850
122aa59568
131875c371
14db88ca4
15921dd08
hex634ece0

104131808 has 72 divisors (see below), whose sum is σ = 233672040. Its totient is φ = 45248000.

The previous prime is 104131793. The next prime is 104131829. The reversal of 104131808 is 808131401.

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 11 ways as a sum of consecutive naturals, for example, 1030958 + ... + 1031058.

It is an arithmetic number, because the mean of its divisors is an integer number (3245445).

Almost surely, 2104131808 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 104131808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836020).

104131808 is an abundant number, since it is smaller than the sum of its proper divisors (129540232).

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

104131808 is a wasteful number, since it uses less digits than its factorization.

104131808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 104131808 is about 10204.4993997746. The cubic root of 104131808 is about 470.4655233668.

It can be divided in two parts, 10413 and 1808, that added together give a palindrome (12221).

The spelling of 104131808 in words is "one hundred four million, one hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 101 116 176 202 232 319 352 404 464 638 808 928 1111 1276 1616 2222 2552 2929 3232 4444 5104 5858 8888 10201 10208 11716 17776 20402 23432 32219 35552 40804 46864 64438 81608 93728 112211 128876 163216 224422 257752 295829 326432 448844 515504 591658 897688 1031008 1183316 1795376 2366632 3254119 3590752 4733264 6508238 9466528 13016476 26032952 52065904 104131808