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132280128 = 2634171979
BaseRepresentation
bin1111110001001…
…10111101000000
3100012220112020000
413320212331000
5232330431003
621043120000
73164235231
oct770467500
9305815200
10132280128
116873a022
1238373000
1321536586
14137d5088
15b92e1a3
hex7e26f40

132280128 has 280 divisors, whose sum is σ = 442569600. Its totient is φ = 38817792.

The previous prime is 132280117. The next prime is 132280129. The reversal of 132280128 is 821082231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132280129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1674393 + ... + 1674471.

Almost surely, 2132280128 is an apocalyptic number.

132280128 is a gapful number since it is divisible by the number (18) 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 132280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284800).

132280128 is an abundant number, since it is smaller than the sum of its proper divisors (310289472).

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

132280128 is a wasteful number, since it uses less digits than its factorization.

132280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 132280128 is about 11501.3098384488. The cubic root of 132280128 is about 509.5242622431.

The spelling of 132280128 in words is "one hundred thirty-two million, two hundred eighty thousand, one hundred twenty-eight".