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132822120 = 23351106851
BaseRepresentation
bin1111110101010…
…11010001101000
3100020221001200210
413322223101220
5233000301440
621102501120
73201653334
oct772532150
9306831623
10132822120
1168a7a252
12385947a0
1321696192
14138d67c4
15b9d9a80
hex7eab468

132822120 has 32 divisors (see below), whose sum is σ = 398466720. Its totient is φ = 35419200.

The previous prime is 132822097. The next prime is 132822127. The reversal of 132822120 is 21228231.

It is a happy number.

It is a super-2 number, since 2×1328221202 = 35283431122588800, which contains 22 as substring.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553306 + ... + 553545.

It is an arithmetic number, because the mean of its divisors is an integer number (12452085).

Almost surely, 2132822120 is an apocalyptic number.

132822120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132822120 is an abundant number, since it is smaller than the sum of its proper divisors (265644600).

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

132822120 is a wasteful number, since it uses less digits than its factorization.

132822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106865 (or 1106861 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132822120 is about 11524.8479382593. The cubic root of 132822120 is about 510.2192060374.

The spelling of 132822120 in words is "one hundred thirty-two million, eight hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1106851 2213702 3320553 4427404 5534255 6641106 8854808 11068510 13282212 16602765 22137020 26564424 33205530 44274040 66411060 132822120