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12159144 = 2332971741
BaseRepresentation
bin101110011000…
…100010101000
3211212202012200
4232120202220
511103043034
61112340200
7205231254
oct56304250
924782180
1012159144
116955388
1240a4660
13269957a
141887264
151102a99
hexb988a8

12159144 has 48 divisors (see below), whose sum is σ = 33289620. Its totient is φ = 4008960.

The previous prime is 12159113. The next prime is 12159163. The reversal of 12159144 is 44195121.

It can be written as a sum of positive squares in 2 ways, for example, as 10304100 + 1855044 = 3210^2 + 1362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6114 + ... + 7854.

Almost surely, 212159144 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 12159144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16644810).

12159144 is an abundant number, since it is smaller than the sum of its proper divisors (21130476).

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

12159144 is a wasteful number, since it uses less digits than its factorization.

12159144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1843 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12159144 is about 3486.9964152548. The cubic root of 12159144 is about 229.9504871365.

The spelling of 12159144 in words is "twelve million, one hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1741 1746 2328 3482 3492 5223 6964 6984 10446 13928 15669 20892 31338 41784 62676 125352 168877 337754 506631 675508 1013262 1351016 1519893 2026524 3039786 4053048 6079572 12159144