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12084156 = 2232779607
BaseRepresentation
bin101110000110…
…001110111100
3211201221100100
4232012032330
511043143111
61111001100
7204466530
oct56061674
924657310
1012084156
116904007
124069190
1326713b6
141867bc0
1510da756
hexb863bc

12084156 has 72 divisors (see below), whose sum is σ = 35409920. Its totient is φ = 3403296.

The previous prime is 12084151. The next prime is 12084157. The reversal of 12084156 is 65148021.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19605 + ... + 20211.

Almost surely, 212084156 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 12084156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17704960).

12084156 is an abundant number, since it is smaller than the sum of its proper divisors (23325764).

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

12084156 is a wasteful number, since it uses less digits than its factorization.

12084156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12084156 is about 3476.2272652978. The cubic root of 12084156 is about 229.4767943273.

The spelling of 12084156 in words is "twelve million, eighty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 607 711 948 1106 1214 1422 1659 1821 2212 2428 2844 3318 3642 4249 4977 5463 6636 7284 8498 9954 10926 12747 16996 19908 21852 25494 38241 47953 50988 76482 95906 143859 152964 191812 287718 335671 431577 575436 671342 863154 1007013 1342684 1726308 2014026 3021039 4028052 6042078 12084156