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32012513 = 1317413533
BaseRepresentation
bin111101000011…
…1100011100001
32020020101220122
41322013203201
531143400023
63102050025
7536046641
oct172074341
966211818
1032012513
1117085525
12a879915
13682b020
144374521
152c252c8
hex1e878e1

32012513 has 16 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 27125760.

The previous prime is 32012483. The next prime is 32012521. The reversal of 32012513 is 31521023.

32012513 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 8 ways, for example, as 786769 + 31225744 = 887^2 + 5588^2 .

It is a cyclic number.

It is not a de Polignac number, because 32012513 - 28 = 32012257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32012491 and 32012500.

It is not an unprimeable number, because it can be changed into a prime (32012213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7295 + ... + 10827.

It is an arithmetic number, because the mean of its divisors is an integer number (2337741).

Almost surely, 232012513 is an apocalyptic number.

It is an amenable number.

32012513 is a deficient number, since it is larger than the sum of its proper divisors (5391343).

32012513 is a wasteful number, since it uses less digits than its factorization.

32012513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 32012513 is about 5657.9601447872. The cubic root of 32012513 is about 317.5215865622.

Adding to 32012513 its reverse (31521023), we get a palindrome (63533536).

The spelling of 32012513 in words is "thirty-two million, twelve thousand, five hundred thirteen".

Divisors: 1 13 17 41 221 533 697 3533 9061 45929 60061 144853 780793 1883089 2462501 32012513