Search a number
-
+
11310920 = 235282773
BaseRepresentation
bin101011001001…
…011101001000
3210021122122222
4223021131020
510343422140
61042233212
7165066305
oct53113510
923248588
1011310920
116426075
123955808
13246046a
1417060ac
15ed65b5
hexac9748

11310920 has 16 divisors (see below), whose sum is σ = 25449660. Its totient is φ = 4524352.

The previous prime is 11310919. The next prime is 11310977. The reversal of 11310920 is 2901311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11115556 + 195364 = 3334^2 + 442^2 .

It is a super-2 number, since 2×113109202 = 255873822492800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141347 + ... + 141426.

Almost surely, 211310920 is an apocalyptic number.

11310920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310920 is an abundant number, since it is smaller than the sum of its proper divisors (14138740).

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

11310920 is a wasteful number, since it uses less digits than its factorization.

11310920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282784 (or 282780 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11310920 is about 3363.1711226163. The cubic root of 11310920 is about 224.4739645371.

The spelling of 11310920 in words is "eleven million, three hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 282773 565546 1131092 1413865 2262184 2827730 5655460 11310920