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85731580 = 225112316943
BaseRepresentation
bin1010001110000…
…10100011111100
312222022121121201
411013002203330
5133421402310
612301305244
72060464204
oct507024374
9188277551
1085731580
1144436450
1224865224
13149b915c
14b559404
1577d6e3a
hex51c28fc

85731580 has 48 divisors (see below), whose sum is σ = 204954624. Its totient is φ = 29817920.

The previous prime is 85731563. The next prime is 85731589. The reversal of 85731580 is 8513758.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85731589) 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 15 ways as a sum of consecutive naturals, for example, 3412 + ... + 13531.

It is an arithmetic number, because the mean of its divisors is an integer number (4269888).

Almost surely, 285731580 is an apocalyptic number.

It is an amenable number.

85731580 is an abundant number, since it is smaller than the sum of its proper divisors (119223044).

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

85731580 is a wasteful number, since it uses less digits than its factorization.

85731580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 85731580 is about 9259.1349487952. The cubic root of 85731580 is about 440.9407900378.

It can be divided in two parts, 857315 and 80, that added together give a triangular number (857395 = T1309).

The spelling of 85731580 in words is "eighty-five million, seven hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 16943 33886 67772 84715 169430 186373 338860 372746 389689 745492 779378 931865 1558756 1863730 1948445 3727460 3896890 4286579 7793780 8573158 17146316 21432895 42865790 85731580