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15066 = 23531
BaseRepresentation
bin11101011011010
3202200000
43223122
5440231
6153430
761632
oct35332
922600
1015066
1110357
128876
136b1c
1456c2
1546e6
hex3ada

15066 has 24 divisors (see below), whose sum is σ = 34944. Its totient is φ = 4860.

The previous prime is 15061. The next prime is 15073. The reversal of 15066 is 66051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (15061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

215066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472).

15066 is an abundant number, since it is smaller than the sum of its proper divisors (19878).

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

15066 is an equidigital number, since it uses as much as digits as its factorization.

15066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 15066 is about 122.7436352729. The cubic root of 15066 is about 24.6982389321.

It can be divided in two parts, 150 and 66, that added together give a cube (216 = 63).

The spelling of 15066 in words is "fifteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 7533 15066