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57120012 = 22331673167
BaseRepresentation
bin1101100111100…
…1010100001100
310222110222221000
43121321110030
5104110320022
65400140300
71262340435
oct331712414
9128428830
1057120012
112a274124
1217167690
13baac131
14782c48c
1550346ac
hex367950c

57120012 has 48 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 18920016.

The previous prime is 57119987. The next prime is 57120043. The reversal of 57120012 is 21002175.

57120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16453 + ... + 19619.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 257120012 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 57120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

57120012 is an abundant number, since it is smaller than the sum of its proper divisors (91902708).

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

57120012 is a wasteful number, since it uses less digits than its factorization.

57120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 57120012 is about 7557.7782449606. The cubic root of 57120012 is about 385.1200210501.

Adding to 57120012 its reverse (21002175), we get a palindrome (78122187).

The spelling of 57120012 in words is "fifty-seven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 167 334 501 668 1002 1503 2004 3006 3167 4509 6012 6334 9018 9501 12668 18036 19002 28503 38004 57006 85509 114012 171018 342036 528889 1057778 1586667 2115556 3173334 4760001 6346668 9520002 14280003 19040004 28560006 57120012