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132059880 = 233251943449
BaseRepresentation
bin1111101111100…
…01001011101000
3100012111100002200
413313301023220
5232301404010
621034300200
73162330141
oct767611350
9305440080
10132059880
11685a95a7
1238287660
132148a254
1413778ac8
15b8d8cc0
hex7df12e8

132059880 has 192 divisors, whose sum is σ = 463320000. Its totient is φ = 32514048.

The previous prime is 132059867. The next prime is 132059887. The reversal of 132059880 is 88950231.

It is a super-2 number, since 2×1320598802 = 34879623811228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132059887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293896 + ... + 294344.

It is an arithmetic number, because the mean of its divisors is an integer number (2413125).

Almost surely, 2132059880 is an apocalyptic number.

132059880 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 132059880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231660000).

132059880 is an abundant number, since it is smaller than the sum of its proper divisors (331260120).

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

132059880 is a wasteful number, since it uses less digits than its factorization.

132059880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 132059880 is about 11491.7309401152. The cubic root of 132059880 is about 509.2413171462.

The spelling of 132059880 in words is "one hundred thirty-two million, fifty-nine thousand, eight hundred eighty".