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125532 = 223211317
BaseRepresentation
bin11110101001011100
320101012100
4132221130
513004112
62405100
71031661
oct365134
9211170
10125532
1186350
1260790
13451a4
1433a68
15272dc
hex1ea5c

125532 has 36 divisors (see below), whose sum is σ = 347256. Its totient is φ = 37920.

The previous prime is 125527. The next prime is 125539. The reversal of 125532 is 235521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125532.

It is not an unprimeable number, because it can be changed into a prime (125539) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (9646).

2125532 is an apocalyptic number.

125532 is a gapful number since it is divisible by the number (12) 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 125532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173628).

125532 is an abundant number, since it is smaller than the sum of its proper divisors (221724).

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

125532 is a wasteful number, since it uses less digits than its factorization.

125532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 125532 is about 354.3049533947. The cubic root of 125532 is about 50.0708329398.

The spelling of 125532 in words is "one hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 317 396 634 951 1268 1902 2853 3487 3804 5706 6974 10461 11412 13948 20922 31383 41844 62766 125532