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132340 = 22513509
BaseRepresentation
bin100000010011110100
320201112111
4200103310
513213330
62500404
71060555
oct402364
9221474
10132340
119047a
1264704
1348310
143632c
152932a
hex204f4

132340 has 24 divisors (see below), whose sum is σ = 299880. Its totient is φ = 48768.

The previous prime is 132331. The next prime is 132347. The reversal of 132340 is 43231.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 121104 = 106^2 + 348^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 132340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132347) 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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (12495).

2132340 is an apocalyptic number.

132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940).

132340 is an abundant number, since it is smaller than the sum of its proper divisors (167540).

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

132340 is a wasteful number, since it uses less digits than its factorization.

132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132340 is about 363.7856511739. The cubic root of 132340 is about 50.9601123461.

Adding to 132340 its reverse (43231), we get a palindrome (175571).

The spelling of 132340 in words is "one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 509 1018 2036 2545 5090 6617 10180 13234 26468 33085 66170 132340