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85900104 = 23321193057
BaseRepresentation
bin1010001111010…
…11101101001000
312222122011210100
411013223231020
5133442300404
612305045400
72062065423
oct507535510
9188564710
1085900104
1144541024
1224926860
1314a47a84
14b5a09ba
15781bd39
hex51ebb48

85900104 has 24 divisors (see below), whose sum is σ = 232646310. Its totient is φ = 28633344.

The previous prime is 85900093. The next prime is 85900109. The reversal of 85900104 is 40100958.

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 13616100 = 8502^2 + 3690^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (85900109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 596457 + ... + 596600.

Almost surely, 285900104 is an apocalyptic number.

It is an amenable number.

85900104 is an abundant number, since it is smaller than the sum of its proper divisors (146746206).

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

85900104 is a wasteful number, since it uses less digits than its factorization.

85900104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193069 (or 1193062 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 85900104 is about 9268.2308991522. The cubic root of 85900104 is about 441.2295224924.

The spelling of 85900104 in words is "eighty-five million, nine hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1193057 2386114 3579171 4772228 7158342 9544456 10737513 14316684 21475026 28633368 42950052 85900104