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6013540 = 22513101229
BaseRepresentation
bin10110111100001001100100
3102022112000201
4112330021210
53014413130
6332520244
7102054121
oct26741144
912275021
106013540
113438075
122020084
131327210
14b27748
157dbbca
hex5bc264

6013540 has 48 divisors (see below), whose sum is σ = 13794480. Its totient is φ = 2188800.

The previous prime is 6013537. The next prime is 6013541. The reversal of 6013540 is 453106.

It can be written as a sum of positive squares in 8 ways, for example, as 481636 + 5531904 = 694^2 + 2352^2 .

It is not an unprimeable number, because it can be changed into a prime (6013541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26146 + ... + 26374.

It is an arithmetic number, because the mean of its divisors is an integer number (287385).

Almost surely, 26013540 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 6013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897240).

6013540 is an abundant number, since it is smaller than the sum of its proper divisors (7780940).

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

6013540 is a wasteful number, since it uses less digits than its factorization.

6013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 6013540 is about 2452.2520261996. The cubic root of 6013540 is about 181.8486444413.

Adding to 6013540 its reverse (453106), we get a palindrome (6466646).

The spelling of 6013540 in words is "six million, thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 229 260 404 458 505 916 1010 1145 1313 2020 2290 2626 2977 4580 5252 5954 6565 11908 13130 14885 23129 26260 29770 46258 59540 92516 115645 231290 300677 462580 601354 1202708 1503385 3006770 6013540