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132914448 = 2432923017
BaseRepresentation
bin1111110110000…
…01110100010000
3100021002202100100
413323001310100
5233011230243
621104452400
73202516452
oct773016420
9307082310
10132914448
1169032657
123861a100
13216c9204
141391c2d2
15ba070d3
hex7ec1d10

132914448 has 30 divisors (see below), whose sum is σ = 371976254. Its totient is φ = 44304768.

The previous prime is 132914429. The next prime is 132914459. The reversal of 132914448 is 844419231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 30338064 = 10128^2 + 5508^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461365 + ... + 461652.

Almost surely, 2132914448 is an apocalyptic number.

132914448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132914448 is an abundant number, since it is smaller than the sum of its proper divisors (239061806).

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

132914448 is a wasteful number, since it uses less digits than its factorization.

132914448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923031 (or 923022 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 132914448 is about 11528.8528483974. The cubic root of 132914448 is about 510.3374007273.

The spelling of 132914448 in words is "one hundred thirty-two million, nine hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 923017 1846034 2769051 3692068 5538102 7384136 8307153 11076204 14768272 16614306 22152408 33228612 44304816 66457224 132914448