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11129664 = 26373132
BaseRepresentation
bin101010011101…
…001101000000
3202221110000210
4222131031000
510322122124
61034314120
7163413000
oct52351500
922843023
1011129664
116311977
123888940
1323c8b00
14169a000
15e9ca29
hexa9d340

11129664 has 168 divisors, whose sum is σ = 37185600. Its totient is φ = 2935296.

The previous prime is 11129641. The next prime is 11129669. The reversal of 11129664 is 46692111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11129669) 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, 856122 + ... + 856134.

Almost surely, 211129664 is an apocalyptic number.

11129664 is a gapful number since it is divisible by the number (14) 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 11129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592800).

11129664 is an abundant number, since it is smaller than the sum of its proper divisors (26055936).

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

11129664 is an equidigital number, since it uses as much as digits as its factorization.

11129664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 11129664 is about 3336.1151059279. The cubic root of 11129664 is about 223.2684467819.

The spelling of 11129664 in words is "eleven million, one hundred twenty-nine thousand, six hundred sixty-four".