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132894 = 23323107
BaseRepresentation
bin100000011100011110
320202022000
4200130132
513223034
62503130
71062306
oct403436
9222260
10132894
1190933
1264aa6
1348648
1436606
1529599
hex2071e

132894 has 32 divisors (see below), whose sum is σ = 311040. Its totient is φ = 41976.

The previous prime is 132893. The next prime is 132911. The reversal of 132894 is 498231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2132894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

132894 is an abundant number, since it is smaller than the sum of its proper divisors (178146).

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

132894 is a wasteful number, since it uses less digits than its factorization.

132894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132894 is about 364.5462933566. The cubic root of 132894 is about 51.0311228718.

The spelling of 132894 in words is "one hundred thirty-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 107 138 207 214 321 414 621 642 963 1242 1926 2461 2889 4922 5778 7383 14766 22149 44298 66447 132894