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15142912 = 2123697
BaseRepresentation
bin111001110001…
…000000000000
31001111100011121
4321301000000
512334033122
61300322024
7242466301
oct71610000
931440147
1015142912
118603104
1250a3314
1331a2705
1420227a8
1514e1bc7
hexe71000

15142912 has 26 divisors (see below), whose sum is σ = 30290318. Its totient is φ = 7569408.

The previous prime is 15142909. The next prime is 15142921. The reversal of 15142912 is 21924151.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9834496 + 5308416 = 3136^2 + 2304^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 2248 + ... + 5944.

Almost surely, 215142912 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 15142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145159).

15142912 is an abundant number, since it is smaller than the sum of its proper divisors (15147406).

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

15142912 is an frugal number, since it uses more digits than its factorization.

15142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3699 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 15142912 is about 3891.3894690714. The cubic root of 15142912 is about 247.4019582431.

The spelling of 15142912 in words is "fifteen million, one hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3697 4096 7394 14788 29576 59152 118304 236608 473216 946432 1892864 3785728 7571456 15142912