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85106580 = 223513109111
BaseRepresentation
bin1010001001010…
…01111110010100
312221010212021120
411010221332110
5133241402310
612240043540
72052252066
oct504517624
9187125246
1085106580
1144049919
12246035b0
131482a830
14b435736
157711b70
hex5129f94

85106580 has 48 divisors (see below), whose sum is σ = 256631424. Its totient is φ = 20949120.

The previous prime is 85106579. The next prime is 85106591. The reversal of 85106580 is 8560158.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53776 + ... + 55335.

It is an arithmetic number, because the mean of its divisors is an integer number (5346488).

Almost surely, 285106580 is an apocalyptic number.

It is an amenable number.

85106580 is an abundant number, since it is smaller than the sum of its proper divisors (171524844).

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

85106580 is a wasteful number, since it uses less digits than its factorization.

85106580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109136 (or 109134 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 85106580 is about 9225.3227585814. The cubic root of 85106580 is about 439.8666606984.

The spelling of 85106580 in words is "eighty-five million, one hundred six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 109111 218222 327333 436444 545555 654666 1091110 1309332 1418443 1636665 2182220 2836886 3273330 4255329 5673772 6546660 7092215 8510658 14184430 17021316 21276645 28368860 42553290 85106580