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12066552 = 2332295779
BaseRepresentation
bin101110000001…
…111011111000
3211201001012100
4232001323320
511042112202
61110343400
7204364311
oct56017370
924631170
1012066552
1168a1863
12405ab60
132666394
141861608
1510d541c
hexb81ef8

12066552 has 48 divisors (see below), whose sum is σ = 33813000. Its totient is φ = 3882816.

The previous prime is 12066547. The next prime is 12066557. The reversal of 12066552 is 25566021.

12066552 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 655 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12066547) and next prime (12066557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12066557) 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 11 ways as a sum of consecutive naturals, for example, 802 + ... + 4977.

Almost surely, 212066552 is an apocalyptic number.

12066552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906500).

12066552 is an abundant number, since it is smaller than the sum of its proper divisors (21746448).

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

12066552 is a wasteful number, since it uses less digits than its factorization.

12066552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12066552 is about 3473.6942870667. The cubic root of 12066552 is about 229.3653074973.

The spelling of 12066552 in words is "twelve million, sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5779 11558 17337 23116 34674 46232 52011 69348 104022 138696 167591 208044 335182 416088 502773 670364 1005546 1340728 1508319 2011092 3016638 4022184 6033276 12066552