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11893376 = 27118447
BaseRepresentation
bin101101010111…
…101010000000
3211101020122102
4231113222000
511021042001
61102525532
7203043365
oct55275200
924336572
1011893376
116793740
123b968a8
132605601
14181846c
15109de6b
hexb57a80

11893376 has 32 divisors (see below), whose sum is σ = 25850880. Its totient is φ = 5405440.

The previous prime is 11893333. The next prime is 11893417. The reversal of 11893376 is 67339811.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2816 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 211893376 is an apocalyptic number.

11893376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11893376 is the 2816-th pentagonal number.

It is an amenable number.

11893376 is an abundant number, since it is smaller than the sum of its proper divisors (13957504).

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

11893376 is an equidigital number, since it uses as much as digits as its factorization.

11893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472 (or 8460 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 11893376 is about 3448.6774276525. The cubic root of 11893376 is about 228.2627523809.

The spelling of 11893376 in words is "eleven million, eight hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 8447 16894 33788 67576 92917 135152 185834 270304 371668 540608 743336 1081216 1486672 2973344 5946688 11893376