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11264994 = 235131783
BaseRepresentation
bin101010111110…
…001111100010
3210012022200000
4222332033202
510340434434
61041240430
7164515356
oct52761742
923168600
1011264994
1163a4614
123933116
1324455a0
1416d3466
15ec7b99
hexabe3e2

11264994 has 48 divisors (see below), whose sum is σ = 27273792. Its totient is φ = 3464208.

The previous prime is 11264993. The next prime is 11265029. The reversal of 11264994 is 49946211.

It is a happy number.

11264994 is a `hidden beast` number, since 1 + 1 + 2 + 649 + 9 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11264993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5427 + ... + 7209.

It is an arithmetic number, because the mean of its divisors is an integer number (568204).

Almost surely, 211264994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636896).

11264994 is an abundant number, since it is smaller than the sum of its proper divisors (16008798).

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

11264994 is a wasteful number, since it uses less digits than its factorization.

11264994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11264994 is about 3356.3363955361. The cubic root of 11264994 is about 224.1697400726.

The spelling of 11264994 in words is "eleven million, two hundred sixty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 1783 2106 3159 3566 5349 6318 10698 16047 23179 32094 46358 48141 69537 96282 139074 144423 208611 288846 417222 433269 625833 866538 1251666 1877499 3754998 5632497 11264994