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104013952 = 277294003
BaseRepresentation
bin1100011001100…
…10000010000000
321020201110022121
412030302002000
5203111421302
614153214024
72402050450
oct614620200
9236643277
10104013952
1153793249
122aa01314
131871a823
14db57d60
1591e8e37
hex6332080

104013952 has 64 divisors (see below), whose sum is σ = 245044800. Its totient is φ = 43029504.

The previous prime is 104013937. The next prime is 104013953. The reversal of 104013952 is 259310401.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (104013953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23983 + ... + 27985.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2104013952 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 104013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

104013952 is an abundant number, since it is smaller than the sum of its proper divisors (141030848).

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

104013952 is an equidigital number, since it uses as much as digits as its factorization.

104013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 104013952 is about 10198.7230573244. The cubic root of 104013952 is about 470.2879659766.

The spelling of 104013952 in words is "one hundred four million, thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 4003 6496 8006 12992 16012 25984 28021 32024 56042 64048 112084 116087 128096 224168 232174 256192 448336 464348 512384 812609 896672 928696 1625218 1793344 1857392 3250436 3586688 3714784 6500872 7429568 13001744 14859136 26003488 52006976 104013952