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104110992 = 24321771599
BaseRepresentation
bin1100011010010…
…01101110010000
321020220101102200
412031021232100
5203123022432
614155243200
72402633406
oct615115620
9236811380
10104110992
115384a147
122aa49500
1318752a4b
14db81476
159217a7c
hex6349b90

104110992 has 120 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 32148480.

The previous prime is 104110991. The next prime is 104110997. The reversal of 104110992 is 299011401.

It is not an unprimeable number, because it can be changed into a prime (104110991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173509 + ... + 174107.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2104110992 is an apocalyptic number.

104110992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104110992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

104110992 is an abundant number, since it is smaller than the sum of its proper divisors (209261808).

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

104110992 is a wasteful number, since it uses less digits than its factorization.

104110992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 104110992 is about 10203.4794065554. The cubic root of 104110992 is about 470.4341725140.

The spelling of 104110992 in words is "one hundred four million, one hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 71 72 102 136 142 144 153 204 213 272 284 306 408 426 568 599 612 639 816 852 1136 1198 1207 1224 1278 1704 1797 2396 2414 2448 2556 3408 3594 3621 4792 4828 5112 5391 7188 7242 9584 9656 10183 10224 10782 10863 14376 14484 19312 20366 21564 21726 28752 28968 30549 40732 42529 43128 43452 57936 61098 81464 85058 86256 86904 91647 122196 127587 162928 170116 173808 183294 244392 255174 340232 366588 382761 488784 510348 680464 722993 733176 765522 1020696 1445986 1466352 1531044 2041392 2168979 2891972 3062088 4337958 5783944 6124176 6506937 8675916 11567888 13013874 17351832 26027748 34703664 52055496 104110992