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132440013 = 321719291571
BaseRepresentation
bin1111110010011…
…01111111001101
3100020012122112200
413321031333031
5232401040023
621050352113
73165502326
oct771157715
9306178480
10132440013
1168839162
123842b639
1321591294
141383744d
15b961743
hex7e4dfcd

132440013 has 48 divisors (see below), whose sum is σ = 220708800. Its totient is φ = 75962880.

The previous prime is 132439969. The next prime is 132440023. The reversal of 132440013 is 310044231.

It is not a de Polignac number, because 132440013 - 26 = 132439949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132440023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83518 + ... + 85088.

It is an arithmetic number, because the mean of its divisors is an integer number (4598100).

Almost surely, 2132440013 is an apocalyptic number.

It is an amenable number.

132440013 is a deficient number, since it is larger than the sum of its proper divisors (88268787).

132440013 is a wasteful number, since it uses less digits than its factorization.

132440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132440013 is about 11508.2584694644. The cubic root of 132440013 is about 509.7294643596.

Adding to 132440013 its reverse (310044231), we get a palindrome (442484244).

The spelling of 132440013 in words is "one hundred thirty-two million, four hundred forty thousand, thirteen".

Divisors: 1 3 9 17 19 29 51 57 87 153 171 261 323 493 551 969 1479 1571 1653 2907 4437 4713 4959 9367 14139 26707 28101 29849 45559 80121 84303 89547 136677 240363 268641 410031 507433 774503 865621 1522299 2323509 2596863 4566897 6970527 7790589 14715557 44146671 132440013