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132348672 = 28321731109
BaseRepresentation
bin1111110001101…
…11101100000000
3100020001000020200
413320313230000
5232340124142
621044405200
73164642121
oct770675400
9306030220
10132348672
1168786575
12383a6800
132155b831
1413812048
15b94464c
hex7e37b00

132348672 has 216 divisors, whose sum is σ = 420900480. Its totient is φ = 39813120.

The previous prime is 132348649. The next prime is 132348673. The reversal of 132348672 is 276843231.

It is a happy number.

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 (132348673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214154 + ... + 1214262.

Almost surely, 2132348672 is an apocalyptic number.

132348672 is a gapful number since it is divisible by the number (12) 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 132348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

132348672 is an abundant number, since it is smaller than the sum of its proper divisors (288551808).

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

132348672 is a wasteful number, since it uses less digits than its factorization.

132348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 132348672 is about 11504.2892870442. The cubic root of 132348672 is about 509.6122542968.

The spelling of 132348672 in words is "one hundred thirty-two million, three hundred forty-eight thousand, six hundred seventy-two".