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11163920 = 245532633
BaseRepresentation
bin101010100101…
…100100010000
3210000012000112
4222211210100
510324221140
61035140452
7163614605
oct52454420
923005015
1011163920
116335689
1238a4728
13240b591
1416a86ac
15ea7c65
hexaa5910

11163920 has 40 divisors (see below), whose sum is σ = 26455896. Its totient is φ = 4379648.

The previous prime is 11163907. The next prime is 11163949. The reversal of 11163920 is 2936111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 10471696 = 832^2 + 3236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2924 + ... + 5556.

Almost surely, 211163920 is an apocalyptic number.

11163920 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 11163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227948).

11163920 is an abundant number, since it is smaller than the sum of its proper divisors (15291976).

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

11163920 is a wasteful number, since it uses less digits than its factorization.

11163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 11163920 is about 3341.2452768392. The cubic root of 11163920 is about 223.4972782009.

The spelling of 11163920 in words is "eleven million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 2633 4240 5266 10532 13165 21064 26330 42128 52660 105320 139549 210640 279098 558196 697745 1116392 1395490 2232784 2790980 5581960 11163920