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13312544 = 257103577
BaseRepresentation
bin110010110010…
…001000100000
3221001100101012
4302302020200
511402000134
61153200052
7221104040
oct62621040
927040335
1013312544
117572a03
124560028
1329b155b
141aa7720
15127e6ce
hexcb2220

13312544 has 48 divisors (see below), whose sum is σ = 30296448. Its totient is φ = 5640192.

The previous prime is 13312529. The next prime is 13312553. The reversal of 13312544 is 44521331.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22784 + ... + 23360.

It is an arithmetic number, because the mean of its divisors is an integer number (631176).

Almost surely, 213312544 is an apocalyptic number.

13312544 is a gapful number since it is divisible by the number (14) 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 13312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148224).

13312544 is an abundant number, since it is smaller than the sum of its proper divisors (16983904).

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

13312544 is a wasteful number, since it uses less digits than its factorization.

13312544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

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

The square root of 13312544 is about 3648.6359094873. The cubic root of 13312544 is about 237.0029137897.

Adding to 13312544 its reverse (44521331), we get a palindrome (57833875).

The spelling of 13312544 in words is "thirteen million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 577 721 824 1154 1442 1648 2308 2884 3296 4039 4616 5768 8078 9232 11536 16156 18464 23072 32312 59431 64624 118862 129248 237724 416017 475448 832034 950896 1664068 1901792 3328136 6656272 13312544