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126060 = 223511191
BaseRepresentation
bin11110110001101100
320101220220
4132301230
513013220
62411340
71033344
oct366154
9211826
10126060
1186790
1260b50
13454bc
1433d24
1527540
hex1ec6c

126060 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 30400.

The previous prime is 126047. The next prime is 126067. The reversal of 126060 is 60621.

It is a super-2 number, since 2×1260602 = 31782247200, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126060.

It is not an unprimeable number, because it can be changed into a prime (126067) 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, 565 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2126060 is an apocalyptic number.

126060 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 126060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

126060 is an abundant number, since it is smaller than the sum of its proper divisors (261012).

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

126060 is a wasteful number, since it uses less digits than its factorization.

126060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 126060 is about 355.0492923525. The cubic root of 126060 is about 50.1409357026.

Adding to 126060 its reverse (60621), we get a palindrome (186681).

The spelling of 126060 in words is "one hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 191 220 330 382 573 660 764 955 1146 1910 2101 2292 2865 3820 4202 5730 6303 8404 10505 11460 12606 21010 25212 31515 42020 63030 126060