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11369376 = 253313159
BaseRepresentation
bin101011010111…
…101110100000
3210101121212000
4223113232200
510402310001
61043404000
7165431604
oct53275640
923347760
1011369376
116465a87
123983600
132480c55
14171d504
15ee8a86
hexad7ba0

11369376 has 48 divisors (see below), whose sum is σ = 33163200. Its totient is φ = 3789504.

The previous prime is 11369357. The next prime is 11369377. The reversal of 11369376 is 67396311.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11369376.

It is not an unprimeable number, because it can be changed into a prime (11369377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5716 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (690900).

Almost surely, 211369376 is an apocalyptic number.

11369376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11369376 is an abundant number, since it is smaller than the sum of its proper divisors (21793824).

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

11369376 is a wasteful number, since it uses less digits than its factorization.

11369376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178 (or 13164 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 11369376 is about 3371.8505304951. The cubic root of 11369376 is about 224.8600017981.

The spelling of 11369376 in words is "eleven million, three hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13159 26318 39477 52636 78954 105272 118431 157908 210544 236862 315816 355293 421088 473724 631632 710586 947448 1263264 1421172 1894896 2842344 3789792 5684688 11369376