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12055164 = 22311271337
BaseRepresentation
bin101101111111…
…001001111100
3211200110120120
4231333021330
511041231124
61110214540
7204316152
oct55771174
924613516
1012055164
116894250
124054450
132661144
14185b3d2
1510d1d79
hexb7f27c

12055164 has 48 divisors (see below), whose sum is σ = 30890496. Its totient is φ = 3628800.

The previous prime is 12055133. The next prime is 12055207. The reversal of 12055164 is 46155021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35604 + ... + 35940.

It is an arithmetic number, because the mean of its divisors is an integer number (643552).

Almost surely, 212055164 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 12055164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445248).

12055164 is an abundant number, since it is smaller than the sum of its proper divisors (18835332).

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

12055164 is a wasteful number, since it uses less digits than its factorization.

12055164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 12055164 is about 3472.0547230711. The cubic root of 12055164 is about 229.2931290694.

The spelling of 12055164 in words is "twelve million, fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 337 542 674 813 1011 1084 1348 1626 2022 2981 3252 3707 4044 5962 7414 8943 11121 11924 14828 17886 22242 35772 44484 91327 182654 273981 365308 547962 1004597 1095924 2009194 3013791 4018388 6027582 12055164