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11164496 = 247831201
BaseRepresentation
bin101010100101…
…101101010000
3210000012210212
4222211231100
510324230441
61035143252
7163616360
oct52455520
923005725
1011164496
116336062
1238a4b28
13240b915
1416a89a0
15ea7eeb
hexaa5b50

11164496 has 40 divisors (see below), whose sum is σ = 25040064. Its totient is φ = 4723200.

The previous prime is 11164493. The next prime is 11164501. The reversal of 11164496 is 69446111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164493) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8696 + ... + 9896.

Almost surely, 211164496 is an apocalyptic number.

11164496 is a gapful number since it is divisible by the number (16) 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 11164496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520032).

11164496 is an abundant number, since it is smaller than the sum of its proper divisors (13875568).

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

11164496 is a wasteful number, since it uses less digits than its factorization.

11164496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 11164496 is about 3341.3314711354. The cubic root of 11164496 is about 223.5011218991.

The spelling of 11164496 in words is "eleven million, one hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1201 1328 2324 2402 4648 4804 8407 9296 9608 16814 19216 33628 67256 99683 134512 199366 398732 697781 797464 1395562 1594928 2791124 5582248 11164496