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132040596 = 22329537159
BaseRepresentation
bin1111101111011…
…00011110010100
3100012110100122110
413313230132110
5232300244341
621034031020
73162220002
oct767543624
9305410573
10132040596
1168596066
1238278470
132148153c
1413771a72
15b8d3216
hex7dec794

132040596 has 48 divisors (see below), whose sum is σ = 324777600. Its totient is φ = 41688192.

The previous prime is 132040589. The next prime is 132040619. The reversal of 132040596 is 695040231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14865 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (6766200).

Almost surely, 2132040596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132040596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162388800).

132040596 is an abundant number, since it is smaller than the sum of its proper divisors (192737004).

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

132040596 is a wasteful number, since it uses less digits than its factorization.

132040596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7248 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 132040596 is about 11490.8918713910. The cubic root of 132040596 is about 509.2165286750.

The spelling of 132040596 in words is "one hundred thirty-two million, forty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 7159 9222 14318 18444 21477 28636 42954 85908 207611 379427 415222 622833 758854 830444 1138281 1245666 1517708 2276562 2491332 4553124 11003383 22006766 33010149 44013532 66020298 132040596