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11314368 = 2632131511
BaseRepresentation
bin101011001010…
…010011000000
3210021211101200
4223022103000
510344024433
61042301200
7165112332
oct53122300
923254350
1011314368
11642871a
123957800
132461bc0
141707452
15ed7613
hexaca4c0

11314368 has 84 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 3479040.

The previous prime is 11314363. The next prime is 11314399. The reversal of 11314368 is 86341311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11314363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6733 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 211314368 is an apocalyptic number.

11314368 is a gapful number since it is divisible by the number (18) 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 11314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

11314368 is an abundant number, since it is smaller than the sum of its proper divisors (23634000).

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

11314368 is a wasteful number, since it uses less digits than its factorization.

11314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11314368 is about 3363.6836949987. The cubic root of 11314368 is about 224.4967716296.

Adding to 11314368 its reverse (86341311), we get a palindrome (97655679).

The spelling of 11314368 in words is "eleven million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1511 1872 2496 3022 3744 4533 6044 7488 9066 12088 13599 18132 19643 24176 27198 36264 39286 48352 54396 58929 72528 78572 96704 108792 117858 145056 157144 176787 217584 235716 290112 314288 353574 435168 471432 628576 707148 870336 942864 1257152 1414296 1885728 2828592 3771456 5657184 11314368