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132823032 = 23310353731
BaseRepresentation
bin1111110101010…
…11011111111000
3100020221002221120
413322223133320
5233000314112
621102505240
73201656106
oct772533770
9306832846
10132823032
1168a7aa01
1238595220
1321696714
14138d6c76
15b9d9e8c
hex7eab7f8

132823032 has 32 divisors (see below), whose sum is σ = 335287680. Its totient is φ = 43843680.

The previous prime is 132823021. The next prime is 132823039. The reversal of 132823032 is 230328231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132822993 and 132823011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132823039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24394 + ... + 29337.

It is an arithmetic number, because the mean of its divisors is an integer number (10477740).

Almost surely, 2132823032 is an apocalyptic number.

132823032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132823032 is an abundant number, since it is smaller than the sum of its proper divisors (202464648).

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

132823032 is a wasteful number, since it uses less digits than its factorization.

132823032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53843 (or 53839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132823032 is about 11524.8875048740. The cubic root of 132823032 is about 510.2203738119.

The spelling of 132823032 in words is "one hundred thirty-two million, eight hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 103 206 309 412 618 824 1236 2472 53731 107462 161193 214924 322386 429848 644772 1289544 5534293 11068586 16602879 22137172 33205758 44274344 66411516 132823032