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11465056 = 2519109173
BaseRepresentation
bin101011101111…
…000101100000
3210120111002201
4223233011200
510413340211
61045422544
7166310551
oct53570540
923514081
1011465056
116520959
123a0aa54
1324b5675
141746328
1510170c1
hexaef160

11465056 has 48 divisors (see below), whose sum is σ = 24116400. Its totient is φ = 5349888.

The previous prime is 11465053. The next prime is 11465101. The reversal of 11465056 is 65056411.

11465056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66186 + ... + 66358.

It is an arithmetic number, because the mean of its divisors is an integer number (502425).

Almost surely, 211465056 is an apocalyptic number.

11465056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11465056 is the 2142-nd centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058200).

11465056 is an abundant number, since it is smaller than the sum of its proper divisors (12651344).

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

11465056 is a wasteful number, since it uses less digits than its factorization.

11465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 11465056 is about 3386.0088600002. The cubic root of 11465056 is about 225.4890170543.

The spelling of 11465056 in words is "eleven million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 109 152 173 218 304 346 436 608 692 872 1384 1744 2071 2768 3287 3488 4142 5536 6574 8284 13148 16568 18857 26296 33136 37714 52592 66272 75428 105184 150856 301712 358283 603424 716566 1433132 2866264 5732528 11465056