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132858880 = 2105711337
BaseRepresentation
bin1111110101101…
…00010000000000
3100020222221010021
413322310100000
5233002441010
621103343224
73202165450
oct772642000
9306887107
10132858880
1168aa4930
12385b1b14
13216a9b2b
1413905d60
15b9e58da
hex7eb4400

132858880 has 176 divisors, whose sum is σ = 398526336. Its totient is φ = 41287680.

The previous prime is 132858877. The next prime is 132858881. The reversal of 132858880 is 88858231.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (132858881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394072 + ... + 394408.

Almost surely, 2132858880 is an apocalyptic number.

132858880 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 132858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199263168).

132858880 is an abundant number, since it is smaller than the sum of its proper divisors (265667456).

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

132858880 is a wasteful number, since it uses less digits than its factorization.

132858880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 43.

The square root of 132858880 is about 11526.4426428972. The cubic root of 132858880 is about 510.2662713104.

The spelling of 132858880 in words is "one hundred thirty-two million, eight hundred fifty-eight thousand, eight hundred eighty".