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13001860 = 225292773
BaseRepresentation
bin110001100110…
…010010000100
3220110120012101
4301212102010
511312024420
61142401444
7215341204
oct61462204
926416171
1013001860
117380543
124430284
132903011
141a26404
15121c60a
hexc66484

13001860 has 36 divisors (see below), whose sum is σ = 28314468. Its totient is φ = 5014912.

The previous prime is 13001843. The next prime is 13001861. The reversal of 13001860 is 6810031.

It can be written as a sum of positive squares in 6 ways, for example, as 1223236 + 11778624 = 1106^2 + 3432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001861) 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, 16434 + ... + 17206.

It is an arithmetic number, because the mean of its divisors is an integer number (786513).

Almost surely, 213001860 is an apocalyptic number.

13001860 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 13001860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157234).

13001860 is an abundant number, since it is smaller than the sum of its proper divisors (15312608).

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

13001860 is a wasteful number, since it uses less digits than its factorization.

13001860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13001860 is about 3605.8092018297. The cubic root of 13001860 is about 235.1446822950.

Adding to 13001860 its reverse (6810031), we get a palindrome (19811891).

It can be divided in two parts, 13001 and 860, that added together give a triangular number (13861 = T166).

The spelling of 13001860 in words is "thirteen million, one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 773 841 1546 1682 3092 3364 3865 4205 7730 8410 15460 16820 22417 44834 89668 112085 224170 448340 650093 1300186 2600372 3250465 6500930 13001860