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132163830 = 23252835189
BaseRepresentation
bin1111110000010…
…10100011110110
3100012200121200200
413320022203312
5232313220310
621040421330
73163242201
oct770124366
9305617620
10132163830
116866a707
1238317846
13214c5666
14137a4938
15b9099c0
hex7e0a8f6

132163830 has 48 divisors (see below), whose sum is σ = 344906640. Its totient is φ = 35112384.

The previous prime is 132163793. The next prime is 132163877. The reversal of 132163830 is 38361231.

It is a happy number.

132163830 is a `hidden beast` number, since 1 + 3 + 21 + 638 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132163794 and 132163803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22876 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (7185555).

Almost surely, 2132163830 is an apocalyptic number.

132163830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132163830 is an abundant number, since it is smaller than the sum of its proper divisors (212742810).

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

132163830 is a wasteful number, since it uses less digits than its factorization.

132163830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132163830 is about 11496.2528677826. The cubic root of 132163830 is about 509.3748973365.

The spelling of 132163830 in words is "one hundred thirty-two million, one hundred sixty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 283 566 849 1415 1698 2547 2830 4245 5094 5189 8490 10378 12735 15567 25470 25945 31134 46701 51890 77835 93402 155670 233505 467010 1468487 2936974 4405461 7342435 8810922 13216383 14684870 22027305 26432766 44054610 66081915 132163830