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103541904 = 2432719041
BaseRepresentation
bin1100010101111…
…10110010010000
321012211110210100
412022332302100
5203001320104
614135132400
72365043304
oct612766220
9235743710
10103541904
11534a0624
122a814100
13185b39cb
14da73d04
159154139
hex62bec90

103541904 has 30 divisors (see below), whose sum is σ = 289773926. Its totient is φ = 34513920.

The previous prime is 103541881. The next prime is 103541923. The reversal of 103541904 is 409145301.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 5531904 = 9900^2 + 2352^2 .

It is a super-3 number, since 3×1035419043 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 359377 + ... + 359664.

Almost surely, 2103541904 is an apocalyptic number.

It is an amenable number.

103541904 is an abundant number, since it is smaller than the sum of its proper divisors (186232022).

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

103541904 is a wasteful number, since it uses less digits than its factorization.

103541904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719055 (or 719046 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103541904 is about 10175.5542355196. The cubic root of 103541904 is about 469.5754488198.

The spelling of 103541904 in words is "one hundred three million, five hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 719041 1438082 2157123 2876164 4314246 5752328 6471369 8628492 11504656 12942738 17256984 25885476 34513968 51770952 103541904