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12531700 = 22521131109
BaseRepresentation
bin101111110011…
…011111110100
3212120200021001
4233303133310
511202003300
61124333044
7211342366
oct57633764
925520231
1012531700
11708a285
124244184
13279a00c
141942d36
15117816a
hexbf37f4

12531700 has 36 divisors (see below), whose sum is σ = 27459180. Its totient is φ = 4963840.

The previous prime is 12531689. The next prime is 12531709. The reversal of 12531700 is 713521.

It can be written as a sum of positive squares in 6 ways, for example, as 6411024 + 6120676 = 2532^2 + 2474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10746 + ... + 11854.

It is an arithmetic number, because the mean of its divisors is an integer number (762755).

Almost surely, 212531700 is an apocalyptic number.

12531700 is a gapful number since it is divisible by the number (10) 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 12531700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729590).

12531700 is an abundant number, since it is smaller than the sum of its proper divisors (14927480).

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

12531700 is a wasteful number, since it uses less digits than its factorization.

12531700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 12531700 is about 3540.0141242656. The cubic root of 12531700 is about 232.2754605606.

It can be divided in two parts, 12531 and 700, that added together give a palindrome (13231).

The spelling of 12531700 in words is "twelve million, five hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1109 1130 2218 2260 2825 4436 5545 5650 11090 11300 22180 27725 55450 110900 125317 250634 501268 626585 1253170 2506340 3132925 6265850 12531700