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104015982 = 23723294779
BaseRepresentation
bin1100011001100…
…10100001101110
321020201120002210
412030302201232
5203112002412
614153231250
72402056410
oct614624156
9236646083
10104015982
1153794824
122aa02526
131871b725
14db589b0
1591e983c
hex633286e

104015982 has 128 divisors (see below), whose sum is σ = 265420800. Its totient is φ = 26522496.

The previous prime is 104015981. The next prime is 104015983. The reversal of 104015982 is 289510401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104015981) and next prime (104015983).

It is a super-2 number, since 2×1040159822 = 21638649022848648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104015981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1316619 + ... + 1316697.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 2104015982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104015982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

104015982 is an abundant number, since it is smaller than the sum of its proper divisors (161404818).

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

104015982 is a wasteful number, since it uses less digits than its factorization.

104015982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 104015982 is about 10198.8225791020. The cubic root of 104015982 is about 470.2910254327.

The spelling of 104015982 in words is "one hundred four million, fifteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 47 58 69 79 87 94 138 141 158 161 174 203 237 282 322 329 406 474 483 553 609 658 667 966 987 1081 1106 1218 1334 1363 1659 1817 1974 2001 2162 2291 2726 3243 3318 3634 3713 4002 4089 4582 4669 5451 6486 6873 7426 7567 8178 9338 9541 10902 11139 12719 13746 14007 15134 16037 19082 22278 22701 25438 25991 28014 28623 31349 32074 38157 45402 48111 51982 52693 57246 62698 76314 77973 85399 94047 96222 105386 107677 155946 158079 170798 188094 215354 219443 256197 316158 323031 368851 438886 512394 597793 646062 658329 737702 753739 1106553 1195586 1316658 1507478 1793379 2213106 2261217 2476571 3586758 4522434 4953142 7429713 14859426 17335997 34671994 52007991 104015982