Search a number
-
+
85880580 = 22358831621
BaseRepresentation
bin1010001111001…
…10111100000100
312222121012000020
411013212330010
5133441134310
612304415140
72061654462
oct507467404
9188535006
1085880580
1144528395
12249174b0
1314a3bc16
14b597832
157816170
hex51e6f04

85880580 has 48 divisors (see below), whose sum is σ = 240886464. Its totient is φ = 22861440.

The previous prime is 85880579. The next prime is 85880611. The reversal of 85880580 is 8508858.

It is a super-3 number, since 3×858805803 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 52170 + ... + 53790.

It is an arithmetic number, because the mean of its divisors is an integer number (5018468).

Almost surely, 285880580 is an apocalyptic number.

It is an amenable number.

85880580 is an abundant number, since it is smaller than the sum of its proper divisors (155005884).

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

85880580 is a wasteful number, since it uses less digits than its factorization.

85880580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 85880580 is about 9267.1775638541. The cubic root of 85880580 is about 441.1960913418.

The spelling of 85880580 in words is "eighty-five million, eight hundred eighty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 883 1621 1766 2649 3242 3532 4415 4863 5298 6484 8105 8830 9726 10596 13245 16210 17660 19452 24315 26490 32420 48630 52980 97260 1431343 2862686 4294029 5725372 7156715 8588058 14313430 17176116 21470145 28626860 42940290 85880580