Search a number
-
+
8901011120 = 245588118919
BaseRepresentation
bin10000100101000101…
…01010011010110000
3211222022211012210112
420102202222122300
5121212124323440
64031123320452
7433401226511
oct102242523260
924868735715
108901011120
113858430441
121884b20128
13abb101ab1
14606208a08
15371676965
hex2128aa6b0

8901011120 has 40 divisors (see below), whose sum is σ = 20699463840. Its totient is φ = 3559610880.

The previous prime is 8901011099. The next prime is 8901011131. The reversal of 8901011120 is 211101098.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 461021 + ... + 479939.

It is an arithmetic number, because the mean of its divisors is an integer number (517486596).

Almost surely, 28901011120 is an apocalyptic number.

8901011120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8901011120 is an abundant number, since it is smaller than the sum of its proper divisors (11798452720).

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

8901011120 is a wasteful number, since it uses less digits than its factorization.

8901011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24813 (or 24807 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 8901011120 is about 94345.1700936513. The cubic root of 8901011120 is about 2072.4295743250.

The spelling of 8901011120 in words is "eight billion, nine hundred one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5881 11762 18919 23524 29405 37838 47048 58810 75676 94096 94595 117620 151352 189190 235240 302704 378380 470480 756760 1513520 111262639 222525278 445050556 556313195 890101112 1112626390 1780202224 2225252780 4450505560 8901011120