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11056864 = 257133797
BaseRepresentation
bin101010001011…
…011011100000
3202210202011111
4222023123200
510312304424
61032553104
7162660520
oct52133340
922722144
1011056864
116272205
123852794
1323a1930
14167b680
15e86194
hexa8b6e0

11056864 has 48 divisors (see below), whose sum is σ = 26798688. Its totient is φ = 4372992.

The previous prime is 11056861. The next prime is 11056867. The reversal of 11056864 is 46865011.

It is an interprime number because it is at equal distance from previous prime (11056861) and next prime (11056867).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056861) 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, 1014 + ... + 4810.

It is an arithmetic number, because the mean of its divisors is an integer number (558306).

Almost surely, 211056864 is an apocalyptic number.

11056864 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 11056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399344).

11056864 is an abundant number, since it is smaller than the sum of its proper divisors (15741824).

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

11056864 is a wasteful number, since it uses less digits than its factorization.

11056864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 11056864 is about 3325.1863105697. The cubic root of 11056864 is about 222.7805760576.

The spelling of 11056864 in words is "eleven million, fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3797 7594 15188 26579 30376 49361 53158 60752 98722 106316 121504 197444 212632 345527 394888 425264 691054 789776 850528 1382108 1579552 2764216 5528432 11056864