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11142912 = 283111319
BaseRepresentation
bin101010100000…
…011100000000
3202222010012110
4222200130000
510323033122
61034455320
7163466424
oct52403400
922863173
1011142912
116320920
123894540
132401b51
1416a0b84
15ea190c
hexaa0700

11142912 has 72 divisors (see below), whose sum is σ = 32376960. Its totient is φ = 3374080.

The previous prime is 11142907. The next prime is 11142913. The reversal of 11142912 is 21924111.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7789 + ... + 9107.

It is an arithmetic number, because the mean of its divisors is an integer number (449680).

Almost surely, 211142912 is an apocalyptic number.

11142912 is a gapful number since it is divisible by the number (12) 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 11142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188480).

11142912 is an abundant number, since it is smaller than the sum of its proper divisors (21234048).

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

11142912 is a wasteful number, since it uses less digits than its factorization.

11142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1335 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 11142912 is about 3338.1000584165. The cubic root of 11142912 is about 223.3569995465.

The spelling of 11142912 in words is "eleven million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1319 1408 2112 2638 2816 3957 4224 5276 7914 8448 10552 14509 15828 21104 29018 31656 42208 43527 58036 63312 84416 87054 116072 126624 168832 174108 232144 253248 337664 348216 464288 506496 696432 928576 1012992 1392864 1857152 2785728 3714304 5571456 11142912