Search a number
-
+
11264508 = 22363863
BaseRepresentation
bin101010111110…
…000111111100
3210012022000000
4222332013330
510340431013
61041234300
7164514063
oct52760774
923168000
1011264508
1163a4212
123932990
1324452b8
1416d31da
15ec7973
hexabe1fc

11264508 has 42 divisors (see below), whose sum is σ = 29563464. Its totient is φ = 3753864.

The previous prime is 11264497. The next prime is 11264521. The reversal of 11264508 is 80546211.

11264508 is a `hidden beast` number, since 1 + 12 + 645 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 985 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (703892).

Almost surely, 211264508 is an apocalyptic number.

11264508 is a gapful number since it is divisible by the number (18) 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 11264508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781732).

11264508 is an abundant number, since it is smaller than the sum of its proper divisors (18298956).

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

11264508 is an equidigital number, since it uses as much as digits as its factorization.

11264508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11264508 is about 3356.2639943842. The cubic root of 11264508 is about 224.1665162786.

It can be divided in two parts, 112 and 64508, that added together give a triangular number (64620 = T359).

The spelling of 11264508 in words is "eleven million, two hundred sixty-four thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 3863 7726 11589 15452 23178 34767 46356 69534 104301 139068 208602 312903 417204 625806 938709 1251612 1877418 2816127 3754836 5632254 11264508