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125520 = 2435523
BaseRepresentation
bin11110101001010000
320101011220
4132221100
513004040
62405040
71031643
oct365120
9211156
10125520
118633a
1260780
1345195
1433a5a
15272d0
hex1ea50

125520 has 40 divisors (see below), whose sum is σ = 389856. Its totient is φ = 33408.

The previous prime is 125509. The next prime is 125527. The reversal of 125520 is 25521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 125520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125527) by changing a digit.

125520 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, 22 + ... + 501.

2125520 is an apocalyptic number.

125520 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 125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194928).

125520 is an abundant number, since it is smaller than the sum of its proper divisors (264336).

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

125520 is a wasteful number, since it uses less digits than its factorization.

125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 125520 is about 354.2880184257. The cubic root of 125520 is about 50.0692374127.

Subtracting from 125520 its reverse (25521), we obtain a palindrome (99999).

It can be divided in two parts, 1255 and 20, that added together give a triangular number (1275 = T50).

The spelling of 125520 in words is "one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 523 1046 1569 2092 2615 3138 4184 5230 6276 7845 8368 10460 12552 15690 20920 25104 31380 41840 62760 125520