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104041632 = 25317371723
BaseRepresentation
bin1100011001110…
…00110010100000
321020202212021210
412030320302200
5203113313012
614153550120
72402224242
oct614706240
9236685253
10104041632
1153802022
122aa15340
131872a2c6
14db64092
15920223c
hex6338ca0

104041632 has 96 divisors (see below), whose sum is σ = 297162432. Its totient is φ = 31739904.

The previous prime is 104041631. The next prime is 104041633. The reversal of 104041632 is 236140401.

It is an interprime number because it is at equal distance from previous prime (104041631) and next prime (104041633).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1040416322 = 21649322378446848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104041599 and 104041608.

It is not an unprimeable number, because it can be changed into a prime (104041631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59523 + ... + 61245.

It is an arithmetic number, because the mean of its divisors is an integer number (3095442).

Almost surely, 2104041632 is an apocalyptic number.

104041632 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 104041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148581216).

104041632 is an abundant number, since it is smaller than the sum of its proper divisors (193120800).

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

104041632 is a wasteful number, since it uses less digits than its factorization.

104041632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 104041632 is about 10200.0799996863. The cubic root of 104041632 is about 470.3296796637.

The spelling of 104041632 in words is "one hundred four million, forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 408 444 544 592 629 816 888 1184 1258 1632 1723 1776 1887 2516 3446 3552 3774 5032 5169 6892 7548 10064 10338 13784 15096 20128 20676 27568 29291 30192 41352 55136 58582 60384 63751 82704 87873 117164 127502 165408 175746 191253 234328 255004 351492 382506 468656 510008 702984 765012 937312 1020016 1083767 1405968 1530024 2040032 2167534 2811936 3060048 3251301 4335068 6120096 6502602 8670136 13005204 17340272 26010408 34680544 52020816 104041632