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104792324 = 227132312517
BaseRepresentation
bin1100011111100…
…00000100000100
321022012000001012
412033300010010
5203311323244
614222021352
72411501660
oct617600404
9238160035
10104792324
115417502a
122b117858
1318930bc0
14dcbb8a0
1592ee89e
hex63f0104

104792324 has 48 divisors (see below), whose sum is σ = 235538688. Its totient is φ = 39650688.

The previous prime is 104792323. The next prime is 104792371. The reversal of 104792324 is 423297401.

It is not an unprimeable number, because it can be changed into a prime (104792323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (4907056).

Almost surely, 2104792324 is an apocalyptic number.

104792324 is a gapful number since it is divisible by the number (14) 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 104792324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117769344).

104792324 is an abundant number, since it is smaller than the sum of its proper divisors (130746364).

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

104792324 is a wasteful number, since it uses less digits than its factorization.

104792324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12562 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 104792324 is about 10236.8121991175. The cubic root of 104792324 is about 471.4581604236.

The spelling of 104792324 in words is "one hundred four million, seven hundred ninety-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 12517 25034 50068 87619 162721 175238 287891 325442 350476 575782 650884 1139047 1151564 2015237 2278094 3742583 4030474 4556188 7485166 8060948 14970332 26198081 52396162 104792324