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11059136 = 261123683
BaseRepresentation
bin101010001011…
…111111000000
3202210212021122
4222023333000
510312343021
61033011412
7163000244
oct52137700
922725248
1011059136
116273990
123853b68
1323a298a
14167c424
15e86bab
hexa8bfc0

11059136 has 56 divisors (see below), whose sum is σ = 25017984. Its totient is φ = 4801280.

The previous prime is 11059123. The next prime is 11059141. The reversal of 11059136 is 63195011.

11059136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15851 + ... + 16533.

Almost surely, 211059136 is an apocalyptic number.

11059136 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 11059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508992).

11059136 is an abundant number, since it is smaller than the sum of its proper divisors (13958848).

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

11059136 is a wasteful number, since it uses less digits than its factorization.

11059136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 11059136 is about 3325.5279280138. The cubic root of 11059136 is about 222.7958342358.

The spelling of 11059136 in words is "eleven million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 683 704 736 1012 1366 1472 2024 2732 4048 5464 7513 8096 10928 15026 15709 16192 21856 30052 31418 43712 60104 62836 120208 125672 172799 240416 251344 345598 480832 502688 691196 1005376 1382392 2764784 5529568 11059136