Search a number
-
+
85720920 = 2335714341
BaseRepresentation
bin1010001101111…
…11111101011000
312222022001222220
411012333331120
5133421032140
612301144040
72060421135
oct506777530
9188261886
1085720920
114442943a
122485b020
13149b434c
14b55558c
1577d3bd0
hex51bff58

85720920 has 32 divisors (see below), whose sum is σ = 257163120. Its totient is φ = 22858880.

The previous prime is 85720891. The next prime is 85720963. The reversal of 85720920 is 2902758.

It is a super-2 number, since 2×857209202 = 14696152251292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357051 + ... + 357290.

Almost surely, 285720920 is an apocalyptic number.

It is an amenable number.

85720920 is an abundant number, since it is smaller than the sum of its proper divisors (171442200).

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

85720920 is a wasteful number, since it uses less digits than its factorization.

85720920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714355 (or 714351 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85720920 is about 9258.5592831714. The cubic root of 85720920 is about 440.9225135223.

The spelling of 85720920 in words is "eighty-five million, seven hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 714341 1428682 2143023 2857364 3571705 4286046 5714728 7143410 8572092 10715115 14286820 17144184 21430230 28573640 42860460 85720920