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15012 = 2233139
BaseRepresentation
bin11101010100100
3202121000
43222210
5440022
6153300
761524
oct35244
922530
1015012
1110308
128830
136aaa
145684
1546ac
hex3aa4

15012 has 24 divisors (see below), whose sum is σ = 39200. Its totient is φ = 4968.

The previous prime is 14983. The next prime is 15013. The reversal of 15012 is 21051.

Adding to 15012 its reverse (21051), we get a palindrome (36063).

It is a happy number.

15012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 4 and base 12.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 14985 and 15003.

It is not an unprimeable number, because it can be changed into a prime (15013) by changing a digit.

15012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 177.

215012 is an apocalyptic number.

15012 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 15012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19600).

15012 is an abundant number, since it is smaller than the sum of its proper divisors (24188).

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

15012 is a wasteful number, since it uses less digits than its factorization.

15012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 15012 is about 122.5234671400. The cubic root of 15012 is about 24.6686955559.

The spelling of 15012 in words is "fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2502 3753 5004 7506 15012