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12064052 = 227111323131
BaseRepresentation
bin101110000001…
…010100110100
3211200220202202
4232001110310
511042022202
61110324032
7204354110
oct56012464
924626682
1012064052
11689a9a0
124059618
1326651c0
141860740
1510d4802
hexb81534

12064052 has 96 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4118400.

The previous prime is 12064051. The next prime is 12064061. The reversal of 12064052 is 25046021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12064051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92027 + ... + 92157.

It is an arithmetic number, because the mean of its divisors is an integer number (310464).

Almost surely, 212064052 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 12064052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

12064052 is an abundant number, since it is smaller than the sum of its proper divisors (17740492).

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

12064052 is a wasteful number, since it uses less digits than its factorization.

12064052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12064052 is about 3473.3344209851. The cubic root of 12064052 is about 229.3494661071.

The spelling of 12064052 in words is "twelve million, sixty-four thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 52 77 91 92 131 143 154 161 182 253 262 286 299 308 322 364 506 524 572 598 644 917 1001 1012 1196 1441 1703 1771 1834 2002 2093 2882 3013 3289 3406 3542 3668 4004 4186 5764 6026 6578 6812 7084 8372 10087 11921 12052 13156 18733 20174 21091 23023 23842 33143 37466 39169 40348 42182 46046 47684 66286 74932 78338 84364 92092 131131 132572 156676 232001 262262 274183 430859 464002 524524 548366 861718 928004 1096732 1723436 3016013 6032026 12064052