Search a number
-
+
12057568 = 25478017
BaseRepresentation
bin101101111111…
…101111100000
3211200120212121
4231333233200
511041320233
61110234024
7204326155
oct55775740
924616777
1012057568
116896036
124055914
132662273
14185c22c
1510d292d
hexb7fbe0

12057568 has 24 divisors (see below), whose sum is σ = 24246432. Its totient is φ = 5899776.

The previous prime is 12057547. The next prime is 12057583. The reversal of 12057568 is 86575021.

It is a super-3 number, since 3×120575683 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505 + ... + 5512.

It is an arithmetic number, because the mean of its divisors is an integer number (1010268).

Almost surely, 212057568 is an apocalyptic number.

It is an amenable number.

12057568 is an abundant number, since it is smaller than the sum of its proper divisors (12188864).

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

12057568 is an equidigital number, since it uses as much as digits as its factorization.

12057568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 12057568 is about 3472.4008985139. The cubic root of 12057568 is about 229.3083696762.

The spelling of 12057568 in words is "twelve million, fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 8017 16034 32068 64136 128272 256544 376799 753598 1507196 3014392 6028784 12057568