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13132544 = 28431193
BaseRepresentation
bin110010000110…
…001100000000
3220201012110112
4302012030000
511330220134
61145250452
7216424205
oct62061400
926635415
1013132544
11745a747
124493a28
13294a649
141a5bcac
1512461ce
hexc86300

13132544 has 36 divisors (see below), whose sum is σ = 26845896. Its totient is φ = 6408192.

The previous prime is 13132519. The next prime is 13132547. The reversal of 13132544 is 44523131.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13132547) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10412 + ... + 11604.

Almost surely, 213132544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422948).

13132544 is an abundant number, since it is smaller than the sum of its proper divisors (13713352).

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

13132544 is an equidigital number, since it uses as much as digits as its factorization.

13132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 13132544 is about 3623.8852078950. The cubic root of 13132544 is about 235.9298843704.

Adding to 13132544 its reverse (44523131), we get a palindrome (57655675).

It can be divided in two parts, 131325 and 44, that multiplied together give a triangular number (5778300 = T3399).

The spelling of 13132544 in words is "thirteen million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1193 1376 2386 2752 4772 5504 9544 11008 19088 38176 51299 76352 102598 152704 205196 305408 410392 820784 1641568 3283136 6566272 13132544