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132032160 = 25335132351
BaseRepresentation
bin1111101111010…
…10011010100000
3100012102221002000
413313222122200
5232300012120
621033524000
73162153261
oct767523240
9305387060
10132032160
116858a797
1238273600
132147a750
141376c968
15b8d0990
hex7dea6a0

132032160 has 192 divisors, whose sum is σ = 497871360. Its totient is φ = 32486400.

The previous prime is 132032137. The next prime is 132032161. The reversal of 132032160 is 61230231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132032161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54985 + ... + 57335.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2132032160 is an apocalyptic number.

132032160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

132032160 is an abundant number, since it is smaller than the sum of its proper divisors (365839200).

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

132032160 is a wasteful number, since it uses less digits than its factorization.

132032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132032160 is about 11490.5247921929. The cubic root of 132032160 is about 509.2056839241.

Adding to 132032160 its reverse (61230231), we get a palindrome (193262391).

The spelling of 132032160 in words is "one hundred thirty-two million, thirty-two thousand, one hundred sixty".