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13428144 = 243293251
BaseRepresentation
bin110011001110…
…010110110000
3221021012221200
4303032112300
511414200034
61155451200
7222065052
oct63162660
927235850
1013428144
117641844
1245b6b00
132a22062
141ad78d2
1512a3a99
hexcce5b0

13428144 has 30 divisors (see below), whose sum is σ = 37580556. Its totient is φ = 4476000.

The previous prime is 13428139. The next prime is 13428157. The reversal of 13428144 is 44182431.

13428144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46482 + ... + 46769.

Almost surely, 213428144 is an apocalyptic number.

It is an amenable number.

13428144 is an abundant number, since it is smaller than the sum of its proper divisors (24152412).

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

13428144 is a wasteful number, since it uses less digits than its factorization.

13428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93265 (or 93256 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13428144 is about 3664.4432046356. The cubic root of 13428144 is about 237.6869456991.

The spelling of 13428144 in words is "thirteen million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 93251 186502 279753 373004 559506 746008 839259 1119012 1492016 1678518 2238024 3357036 4476048 6714072 13428144