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104135766 = 23723243109
BaseRepresentation
bin1100011010011…
…11110001010110
321020221122102020
412031033301112
5203124321031
614155554010
72403065550
oct615176126
9236848366
10104135766
1153866819
122aa5b906
13187610c7
14db8a4d0
159220096
hex634fc56

104135766 has 96 divisors (see below), whose sum is σ = 256945920. Its totient is φ = 27542592.

The previous prime is 104135737. The next prime is 104135783. The reversal of 104135766 is 667531401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955320 + ... + 955428.

It is an arithmetic number, because the mean of its divisors is an integer number (2676520).

Almost surely, 2104135766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104135766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128472960).

104135766 is an abundant number, since it is smaller than the sum of its proper divisors (152810154).

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

104135766 is a wasteful number, since it uses less digits than its factorization.

104135766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 104135766 is about 10204.6933319919. The cubic root of 104135766 is about 470.4714840141.

The spelling of 104135766 in words is "one hundred four million, one hundred thirty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 23 42 43 46 69 86 109 129 138 161 218 258 301 322 327 483 529 602 654 763 903 966 989 1058 1526 1587 1806 1978 2289 2507 2967 3174 3703 4578 4687 5014 5934 6923 7406 7521 9374 11109 13846 14061 15042 17549 20769 22218 22747 28122 32809 35098 41538 45494 52647 57661 65618 68241 98427 105294 107801 115322 136482 159229 172983 196854 215602 318458 323403 345966 403627 477687 646806 754607 807254 955374 1210881 1509214 2263821 2421762 2479423 4527642 4958846 7438269 14876538 17355961 34711922 52067883 104135766