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12110144 = 261923433
BaseRepresentation
bin101110001100…
…100101000000
3211210020222212
4232030211000
511100011034
61111321252
7204635354
oct56144500
924706885
1012110144
116921592
124080228
132680187
141873464
1510e32ce
hexb8c940

12110144 has 56 divisors (see below), whose sum is σ = 26456640. Its totient is φ = 5474304.

The previous prime is 12110123. The next prime is 12110179. The reversal of 12110144 is 44101121.

It is a congruent number.

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, 27752 + ... + 28184.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 212110144 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 12110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

12110144 is an abundant number, since it is smaller than the sum of its proper divisors (14346496).

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

12110144 is a wasteful number, since it uses less digits than its factorization.

12110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 12110144 is about 3479.9632181964. The cubic root of 12110144 is about 229.6411796300.

Adding to 12110144 its reverse (44101121), we get a palindrome (56211265).

The spelling of 12110144 in words is "twelve million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 433 437 608 736 866 874 1216 1472 1732 1748 3464 3496 6928 6992 8227 9959 13856 13984 16454 19918 27712 27968 32908 39836 65816 79672 131632 159344 189221 263264 318688 378442 526528 637376 756884 1513768 3027536 6055072 12110144