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85194560 = 2651124203
BaseRepresentation
bin1010001001111…
…11011101000000
312221022022222002
411010333131000
5133302211220
612242003132
72053066433
oct504773500
9187268862
1085194560
11440a9a30
12246464a8
131485b8a9
14b45981a
15772cc75
hex513f740

85194560 has 56 divisors (see below), whose sum is σ = 221321376. Its totient is φ = 30978560.

The previous prime is 85194559. The next prime is 85194563. The reversal of 85194560 is 6549158.

It is a super-2 number, since 2×851945602 = 14516226107187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85194563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8582 + ... + 15621.

Almost surely, 285194560 is an apocalyptic number.

85194560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85194560 is an abundant number, since it is smaller than the sum of its proper divisors (136126816).

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

85194560 is a wasteful number, since it uses less digits than its factorization.

85194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231 (or 24221 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 85194560 is about 9230.0899237223. The cubic root of 85194560 is about 440.0181810669.

The spelling of 85194560 in words is "eighty-five million, one hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 24203 48406 96812 121015 193624 242030 266233 387248 484060 532466 774496 968120 1064932 1331165 1548992 1936240 2129864 2662330 3872480 4259728 5324660 7744960 8519456 10649320 17038912 21298640 42597280 85194560