Search a number
-
+
12531006 = 23217311321
BaseRepresentation
bin101111110011…
…010100111110
3212120122022100
4233303110332
511201443011
61124325530
7211340355
oct57632476
925518270
1012531006
117089804
1242438a6
1327998c7
14194299c
151177d56
hexbf353e

12531006 has 48 divisors (see below), whose sum is σ = 29697408. Its totient is φ = 3801600.

The previous prime is 12530993. The next prime is 12531007. The reversal of 12531006 is 60013521.

It is a super-2 number, since 2×125310062 = 314052222744072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12531006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8826 + ... + 10146.

It is an arithmetic number, because the mean of its divisors is an integer number (618696).

Almost surely, 212531006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12531006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14848704).

12531006 is an abundant number, since it is smaller than the sum of its proper divisors (17166402).

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

12531006 is a wasteful number, since it uses less digits than its factorization.

12531006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1374 counting only the distinct ones).

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

The square root of 12531006 is about 3539.9161007007. The cubic root of 12531006 is about 232.2711727108.

Adding to 12531006 its reverse (60013521), we get a palindrome (72544527).

The spelling of 12531006 in words is "twelve million, five hundred thirty-one thousand, six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1321 1581 2642 3162 3963 4743 7926 9486 11889 22457 23778 40951 44914 67371 81902 122853 134742 202113 245706 368559 404226 696167 737118 1392334 2088501 4177002 6265503 12531006