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104073632 = 25131012477
BaseRepresentation
bin1100011010000…
…00100110100000
321020211111011222
412031000212200
5203120324012
614154354212
72402416445
oct615004640
9236744158
10104073632
1153824073
122aa2b968
131873ba40
14db719cc
15920b972
hex63409a0

104073632 has 48 divisors (see below), whose sum is σ = 222930792. Its totient is φ = 47539200.

The previous prime is 104073623. The next prime is 104073647. The reversal of 104073632 is 236370401.

It can be written as a sum of positive squares in 4 ways, for example, as 95335696 + 8737936 = 9764^2 + 2956^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40778 + ... + 43254.

Almost surely, 2104073632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104073632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111465396).

104073632 is an abundant number, since it is smaller than the sum of its proper divisors (118857160).

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

104073632 is a wasteful number, since it uses less digits than its factorization.

104073632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 104073632 is about 10201.6484942386. The cubic root of 104073632 is about 470.3778943597.

The spelling of 104073632 in words is "one hundred four million, seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2477 2626 3232 4954 5252 9908 10504 19816 21008 32201 39632 42016 64402 79264 128804 250177 257608 500354 515216 1000708 1030432 2001416 3252301 4002832 6504602 8005664 13009204 26018408 52036816 104073632