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11143936 = 28101431
BaseRepresentation
bin101010100000…
…101100000000
3202222011121101
4222200230000
510323101221
61034504144
7163502416
oct52405400
922864541
1011143936
116321671
123895054
13240245b
1416a12b6
15ea1d91
hexaa0b00

11143936 has 36 divisors (see below), whose sum is σ = 22516704. Its totient is φ = 5504000.

The previous prime is 11143933. The next prime is 11143949. The reversal of 11143936 is 63934111.

It is not an unprimeable number, because it can be changed into a prime (11143931) 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 3 ways as a sum of consecutive naturals, for example, 25641 + ... + 26071.

It is an arithmetic number, because the mean of its divisors is an integer number (625464).

Almost surely, 211143936 is an apocalyptic number.

11143936 is a gapful number since it is divisible by the number (16) 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 11143936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258352).

11143936 is an abundant number, since it is smaller than the sum of its proper divisors (11372768).

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

11143936 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (11143935) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (548).

11143936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 11143936 is about 3338.2534355558. The cubic root of 11143936 is about 223.3638412817.

It can be divided in two parts, 1114 and 3936, that added together give a triangular number (5050 = T100).

The spelling of 11143936 in words is "eleven million, one hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 431 808 862 1616 1724 3232 3448 6464 6896 12928 13792 25856 27584 43531 55168 87062 110336 174124 348248 696496 1392992 2785984 5571968 11143936