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132040480 = 255111329199
BaseRepresentation
bin1111101111011…
…00011100100000
3100012110100111011
413313230130200
5232300243410
621034030304
73162216445
oct767543440
9305410434
10132040480
1168595a70
1238278394
1321481480
14137719cc
15b8d318a
hex7dec720

132040480 has 192 divisors, whose sum is σ = 381024000. Its totient is φ = 42577920.

The previous prime is 132040471. The next prime is 132040507. The reversal of 132040480 is 84040231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663421 + ... + 663619.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2132040480 is an apocalyptic number.

132040480 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 132040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

132040480 is an abundant number, since it is smaller than the sum of its proper divisors (248983520).

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

132040480 is a wasteful number, since it uses less digits than its factorization.

132040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 132040480 is about 11490.8868239140. The cubic root of 132040480 is about 509.2163795564.

The spelling of 132040480 in words is "one hundred thirty-two million, forty thousand, four hundred eighty".