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12530052 = 22364297
BaseRepresentation
bin101111110011…
…000110000100
3212120121000000
4233303012010
511201430202
61124321300
7211334523
oct57630604
925517000
1012530052
117089017
124243230
132799342
1419424ba
15117791c
hexbf3184

12530052 has 42 divisors (see below), whose sum is σ = 32883998. Its totient is φ = 4175712.

The previous prime is 12530039. The next prime is 12530057. The reversal of 12530052 is 25003521.

It is a happy number.

12530052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10850436 + 1679616 = 3294^2 + 1296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12530057) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 768 + ... + 5064.

Almost surely, 212530052 is an apocalyptic number.

12530052 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 12530052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441999).

12530052 is an abundant number, since it is smaller than the sum of its proper divisors (20353946).

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

12530052 is an equidigital number, since it uses as much as digits as its factorization.

12530052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 12530052 is about 3539.7813491796. The cubic root of 12530052 is about 232.2652782034.

Adding to 12530052 its reverse (25003521), we get a palindrome (37533573).

The spelling of 12530052 in words is "twelve million, five hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4297 8594 12891 17188 25782 38673 51564 77346 116019 154692 232038 348057 464076 696114 1044171 1392228 2088342 3132513 4176684 6265026 12530052