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104046732 = 223217197863
BaseRepresentation
bin1100011001110…
…10000010001100
321020210010021200
412030322002030
5203113443412
614154025500
72402245146
oct614720214
9236703250
10104046732
1153805939
122aa18290
131872c71a
14db65c96
1592039dc
hex633a08c

104046732 has 72 divisors (see below), whose sum is σ = 280215936. Its totient is φ = 32438784.

The previous prime is 104046731. The next prime is 104046739. The reversal of 104046732 is 237640401.

It is a junction number, because it is equal to n+sod(n) for n = 104046696 and 104046705.

It is not an unprimeable number, because it can be changed into a prime (104046731) 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 23 ways as a sum of consecutive naturals, for example, 120133 + ... + 120995.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 2104046732 is an apocalyptic number.

104046732 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 104046732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140107968).

104046732 is an abundant number, since it is smaller than the sum of its proper divisors (176169204).

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

104046732 is a wasteful number, since it uses less digits than its factorization.

104046732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 104046732 is about 10200.3299946619. The cubic root of 104046732 is about 470.3373645431.

The spelling of 104046732 in words is "one hundred four million, forty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 197 204 306 394 591 612 788 863 1182 1726 1773 2364 2589 3349 3452 3546 5178 6698 7092 7767 10047 10356 13396 14671 15534 20094 29342 30141 31068 40188 44013 58684 60282 88026 120564 132039 170011 176052 264078 340022 510033 528156 680044 1020066 1530099 2040132 2890187 3060198 5780374 6120396 8670561 11560748 17341122 26011683 34682244 52023366 104046732