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11891232 = 253313763
BaseRepresentation
bin101101010111…
…001000100000
3211101010201000
4231113020200
511021004412
61102512000
7203034213
oct55271040
924333630
1011891232
116792071
123b95600
132604642
14181777a
15109d4dc
hexb57220

11891232 has 48 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 3963456.

The previous prime is 11891203. The next prime is 11891251. The reversal of 11891232 is 23219811.

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 (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11891196 and 11891205.

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, 6018 + ... + 7745.

It is an arithmetic number, because the mean of its divisors is an integer number (722610).

Almost surely, 211891232 is an apocalyptic number.

11891232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11891232 is an abundant number, since it is smaller than the sum of its proper divisors (22794048).

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

11891232 is a wasteful number, since it uses less digits than its factorization.

11891232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782 (or 13768 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11891232 is about 3448.3665698414. The cubic root of 11891232 is about 228.2490353687.

The spelling of 11891232 in words is "eleven million, eight hundred ninety-one thousand, two hundred thirty-two".

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 13763 27526 41289 55052 82578 110104 123867 165156 220208 247734 330312 371601 440416 495468 660624 743202 990936 1321248 1486404 1981872 2972808 3963744 5945616 11891232