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11468256 = 253671783
BaseRepresentation
bin101011101111…
…110111100000
3210120122111020
4223233313200
510413441011
61045445440
7166323102
oct53576740
923518436
1011468256
1165232a8
123a10880
1324b6c67
141747572
151018006
hexaefde0

11468256 has 48 divisors (see below), whose sum is σ = 30570624. Its totient is φ = 3763584.

The previous prime is 11468207. The next prime is 11468269. The reversal of 11468256 is 65286411.

It is a tau number, because it is divible by the number of its divisors (48).

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, 5541 + ... + 7323.

It is an arithmetic number, because the mean of its divisors is an integer number (636888).

Almost surely, 211468256 is an apocalyptic number.

11468256 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 11468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285312).

11468256 is an abundant number, since it is smaller than the sum of its proper divisors (19102368).

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

11468256 is a wasteful number, since it uses less digits than its factorization.

11468256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1855 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 11468256 is about 3386.4813597597. The cubic root of 11468256 is about 225.5099937721.

The spelling of 11468256 in words is "eleven million, four hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1783 2144 3216 3566 5349 6432 7132 10698 14264 21396 28528 42792 57056 85584 119461 171168 238922 358383 477844 716766 955688 1433532 1911376 2867064 3822752 5734128 11468256