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11138816 = 28133347
BaseRepresentation
bin101010011111…
…011100000000
3202221220120202
4222133130000
510322420231
61034424332
7163451453
oct52373400
922856522
1011138816
116318837
1238920a8
132400020
14169d49a
15ea05cb
hexa9f700

11138816 has 36 divisors (see below), whose sum is σ = 23951592. Its totient is φ = 5139456.

The previous prime is 11138767. The next prime is 11138821. The reversal of 11138816 is 61883111.

It is a congruent number.

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, 1655 + ... + 5001.

It is an arithmetic number, because the mean of its divisors is an integer number (665322).

Almost surely, 211138816 is an apocalyptic number.

11138816 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 11138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975796).

11138816 is an abundant number, since it is smaller than the sum of its proper divisors (12812776).

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

11138816 is an equidigital number, since it uses as much as digits as its factorization.

11138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3362 counting only the distinct ones).

The product of its digits is 1152, while the sum is 29.

The square root of 11138816 is about 3337.4864793734. The cubic root of 11138816 is about 223.3296284131.

The spelling of 11138816 in words is "eleven million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3347 6694 13388 26776 43511 53552 87022 107104 174044 214208 348088 428416 696176 856832 1392352 2784704 5569408 11138816