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132347040 = 25357217331
BaseRepresentation
bin1111110001101…
…11010010100000
3100020000221000020
413320313102200
5232340101130
621044353440
73164634300
oct770672240
9306027006
10132347040
1168785321
12383a5880
132155ab77
1413811600
15b943e10
hex7e374a0

132347040 has 288 divisors, whose sum is σ = 515035584. Its totient is φ = 28385280.

The previous prime is 132347011. The next prime is 132347071. The reversal of 132347040 is 40743231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132347040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399675 + ... + 400005.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318).

Almost surely, 2132347040 is an apocalyptic number.

132347040 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 132347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257517792).

132347040 is an abundant number, since it is smaller than the sum of its proper divisors (382688544).

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

132347040 is a wasteful number, since it uses less digits than its factorization.

132347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 132347040 is about 11504.2183567594. The cubic root of 132347040 is about 509.6101596010.

The spelling of 132347040 in words is "one hundred thirty-two million, three hundred forty-seven thousand, forty".