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11058920 = 235833331
BaseRepresentation
bin101010001011…
…111011101000
3202210211222122
4222023323220
510312341140
61033010412
7162666515
oct52137350
922724878
1011058920
116273804
123853a08
1323a2852
14167c30c
15e86ab5
hexa8bee8

11058920 has 32 divisors (see below), whose sum is σ = 25189920. Its totient is φ = 4368960.

The previous prime is 11058917. The next prime is 11058941. The reversal of 11058920 is 2985011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11058920.

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, 1655 + ... + 4985.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 211058920 is an apocalyptic number.

11058920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594960).

11058920 is an abundant number, since it is smaller than the sum of its proper divisors (14131000).

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

11058920 is a wasteful number, since it uses less digits than its factorization.

11058920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 11058920 is about 3325.4954518086. The cubic root of 11058920 is about 222.7943837243.

The spelling of 11058920 in words is "eleven million, fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 3331 6662 13324 16655 26648 33310 66620 133240 276473 552946 1105892 1382365 2211784 2764730 5529460 11058920