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11910144 = 21033877
BaseRepresentation
bin101101011011…
…110000000000
3211102002122110
4231123300000
511022111034
61103135320
7203143311
oct55336000
924362573
1011910144
1167a52a4
123ba4540
13261012c
141820608
1510a3de9
hexb5bc00

11910144 has 44 divisors (see below), whose sum is σ = 31753064. Its totient is φ = 3969024.

The previous prime is 11910139. The next prime is 11910161. The reversal of 11910144 is 44101911.

It is a self number, because there is not a number n which added to its sum of digits gives 11910144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1134 + ... + 5010.

Almost surely, 211910144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876532).

11910144 is an abundant number, since it is smaller than the sum of its proper divisors (19842920).

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

11910144 is an equidigital number, since it uses as much as digits as its factorization.

11910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3882 counting only the distinct ones).

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

The square root of 11910144 is about 3451.1076482776. The cubic root of 11910144 is about 228.3699748799.

The spelling of 11910144 in words is "eleven million, nine hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3877 7754 11631 15508 23262 31016 46524 62032 93048 124064 186096 248128 372192 496256 744384 992512 1488768 1985024 2977536 3970048 5955072 11910144