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132823932 = 223372931021
BaseRepresentation
bin1111110101010…
…11101101111100
3100020221011011220
413322223231330
5233000331212
621102513340
73201661533
oct772535574
9306834156
10132823932
1168a8064a
1238595850
1321696c57
14138d731a
15b9da38c
hex7eabb7c

132823932 has 48 divisors (see below), whose sum is σ = 319697952. Its totient is φ = 42888960.

The previous prime is 132823921. The next prime is 132823939. The reversal of 132823932 is 239328231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132823893 and 132823902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132823939) 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 15 ways as a sum of consecutive naturals, for example, 129582 + ... + 130602.

It is an arithmetic number, because the mean of its divisors is an integer number (6660374).

Almost surely, 2132823932 is an apocalyptic number.

132823932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132823932 is an abundant number, since it is smaller than the sum of its proper divisors (186874020).

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

132823932 is a wasteful number, since it uses less digits than its factorization.

132823932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 132823932 is about 11524.9265507421. The cubic root of 132823932 is about 510.2215262157.

The spelling of 132823932 in words is "one hundred thirty-two million, eight hundred twenty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 293 444 586 879 1021 1172 1758 2042 3063 3516 4084 6126 10841 12252 21682 32523 37777 43364 65046 75554 113331 130092 151108 226662 299153 453324 598306 897459 1196612 1794918 3589836 11068661 22137322 33205983 44274644 66411966 132823932