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104317542 = 232717311571
BaseRepresentation
bin1100011011111…
…00001001100110
321021021212202200
412031330021212
5203201130132
614203515330
72404453530
oct615741146
9237255680
10104317542
115398034a
122ab28b46
13187c5a74
14dbd6850
159258d7c
hex637c266

104317542 has 96 divisors (see below), whose sum is σ = 282507264. Its totient is φ = 27129600.

The previous prime is 104317537. The next prime is 104317567. The reversal of 104317542 is 245713401.

104317542 is a `hidden beast` number, since 104 + 3 + 17 + 542 = 666.

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, 65617 + ... + 67187.

It is an arithmetic number, because the mean of its divisors is an integer number (2942784).

Almost surely, 2104317542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104317542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141253632).

104317542 is an abundant number, since it is smaller than the sum of its proper divisors (178189722).

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

104317542 is a wasteful number, since it uses less digits than its factorization.

104317542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104317542 is about 10213.5959387475. The cubic root of 104317542 is about 470.7450714517.

The spelling of 104317542 in words is "one hundred four million, three hundred seventeen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1571 1581 1953 2142 3142 3162 3689 3906 4713 4743 7378 9426 9486 10997 11067 14139 21994 22134 26707 28278 32991 33201 48701 53414 65982 66402 80121 97402 98973 146103 160242 186949 197946 240363 292206 340907 373898 438309 480726 560847 681814 827917 876618 1022721 1121694 1655834 1682541 2045442 2483751 3068163 3365082 4967502 5795419 6136326 7451253 11590838 14902506 17386257 34772514 52158771 104317542