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132215052 = 22317751863
BaseRepresentation
bin1111110000101…
…11000100001100
3100012210012221210
413320113010030
5232321340202
621041454420
73163544424
oct770270414
9305705853
10132215052
11686a5142
1238341410
1321512a78
14137b9484
15b919c6c
hex7e1710c

132215052 has 48 divisors (see below), whose sum is σ = 327462912. Its totient is φ = 41376000.

The previous prime is 132215051. The next prime is 132215081. The reversal of 132215052 is 250512231.

132215052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132215051) 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, 152773 + ... + 153635.

It is an arithmetic number, because the mean of its divisors is an integer number (6822144).

Almost surely, 2132215052 is an apocalyptic number.

132215052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132215052 is an abundant number, since it is smaller than the sum of its proper divisors (195247860).

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

132215052 is a wasteful number, since it uses less digits than its factorization.

132215052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132215052 is about 11498.4804213426. The cubic root of 132215052 is about 509.4406940350.

Adding to 132215052 its reverse (250512231), we get a palindrome (382727283).

The spelling of 132215052 in words is "one hundred thirty-two million, two hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 751 863 1502 1726 2253 2589 3004 3452 4506 5178 9012 10356 12767 14671 25534 29342 38301 44013 51068 58684 76602 88026 153204 176052 648113 1296226 1944339 2592452 3888678 7777356 11017921 22035842 33053763 44071684 66107526 132215052