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132356 = 22729163
BaseRepresentation
bin100000010100000100
320201120002
4200110010
513213411
62500432
71060610
oct402404
9221502
10132356
1190494
1264718
1348323
1436340
152933b
hex20504

132356 has 24 divisors (see below), whose sum is σ = 275520. Its totient is φ = 54432.

The previous prime is 132347. The next prime is 132361. The reversal of 132356 is 653231.

It is a super-2 number, since 2×1323562 = 35036221472, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 132356 parts by 514 straight cuts.

It is an unprimeable number.

132356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (11480).

2132356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760).

132356 is an abundant number, since it is smaller than the sum of its proper divisors (143164).

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

132356 is a wasteful number, since it uses less digits than its factorization.

132356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 132356 is about 363.8076414810. The cubic root of 132356 is about 50.9621659679.

Adding to 132356 its reverse (653231), we get a palindrome (785587).

It can be divided in two parts, 1323 and 56, that multiplied together give a cube (74088 = 423).

The spelling of 132356 in words is "one hundred thirty-two thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 58 116 163 203 326 406 652 812 1141 2282 4564 4727 9454 18908 33089 66178 132356