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104146112 = 267317499
BaseRepresentation
bin1100011010100…
…10010011000000
321020222011121102
412031102103000
5203130133422
614200113532
72403140660
oct615222300
9236864542
10104146112
1153873574
122aa658a8
1318765a25
14db901a0
159223192
hex63524c0

104146112 has 56 divisors (see below), whose sum is σ = 243840000. Its totient is φ = 43188480.

The previous prime is 104146099. The next prime is 104146153. The reversal of 104146112 is 211641401.

It is a tau number, because it is divible by the number of its divisors (56).

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, 10139 + ... + 17637.

Almost surely, 2104146112 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 104146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920000).

104146112 is an abundant number, since it is smaller than the sum of its proper divisors (139693888).

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

104146112 is an equidigital number, since it uses as much as digits as its factorization.

104146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 104146112 is about 10205.2002430134. The cubic root of 104146112 is about 470.4870641136.

Adding to 104146112 its reverse (211641401), we get a palindrome (315787513).

The spelling of 104146112 in words is "one hundred four million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 7499 13888 14998 29996 52493 59992 104986 119984 209972 232469 239968 419944 464938 479936 839888 929876 1627283 1679776 1859752 3254566 3359552 3719504 6509132 7439008 13018264 14878016 26036528 52073056 104146112