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67132 = 22131291
BaseRepresentation
bin10000011000111100
310102002101
4100120330
54122012
61234444
7366502
oct203074
9112071
1067132
114648a
1232a24
1324730
141a672
1514d57
hex1063c

67132 has 12 divisors (see below), whose sum is σ = 126616. Its totient is φ = 30960.

The previous prime is 67129. The next prime is 67139. The reversal of 67132 is 23176.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594 + ... + 697.

267132 is an apocalyptic number.

It is an amenable number.

67132 is a deficient number, since it is larger than the sum of its proper divisors (59484).

67132 is a wasteful number, since it uses less digits than its factorization.

67132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 67132 is about 259.0984368922. The cubic root of 67132 is about 40.6421363603.

Subtracting from 67132 its reverse (23176), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 671 and 32, that added together give a triangular number (703 = T37).

The spelling of 67132 in words is "sixty-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 1291 2582 5164 16783 33566 67132