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132822126 = 2335234703
BaseRepresentation
bin1111110101010…
…11010001101110
3100020221001201000
413322223101232
5233000302001
621102501130
73201653343
oct772532156
9306831630
10132822126
1168a7a258
12385947a6
1321696198
14138d67ca
15b9d9a86
hex7eab46e

132822126 has 32 divisors (see below), whose sum is σ = 295787520. Its totient is φ = 44179992.

The previous prime is 132822097. The next prime is 132822127. The reversal of 132822126 is 621228231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132822126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132822127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25891 + ... + 30593.

It is an arithmetic number, because the mean of its divisors is an integer number (9243360).

Almost surely, 2132822126 is an apocalyptic number.

132822126 is an abundant number, since it is smaller than the sum of its proper divisors (162965394).

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

132822126 is a wasteful number, since it uses less digits than its factorization.

132822126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5231 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 132822126 is about 11524.8481985664. The cubic root of 132822126 is about 510.2192137202.

The spelling of 132822126 in words is "one hundred thirty-two million, eight hundred twenty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 523 1046 1569 3138 4703 4707 9406 9414 14109 14121 28218 28242 42327 84654 126981 253962 2459669 4919338 7379007 14758014 22137021 44274042 66411063 132822126