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13071820 = 22523157181
BaseRepresentation
bin110001110111…
…010111001100
3220121010011111
4301313113030
511321244240
61144101404
7216052156
oct61672714
926533144
1013071820
117419063
124464864
132928b08
141a43ad6
1512331ea
hexc775cc

13071820 has 48 divisors (see below), whose sum is σ = 28986048. Its totient is φ = 4942080.

The previous prime is 13071811. The next prime is 13071823. The reversal of 13071820 is 2817031.

It is a super-2 number, since 2×130718202 = 341744956224800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13071791 and 13071800.

It is not an unprimeable number, because it can be changed into a prime (13071823) 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, 72130 + ... + 72310.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 213071820 is an apocalyptic number.

13071820 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 13071820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493024).

13071820 is an abundant number, since it is smaller than the sum of its proper divisors (15914228).

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

13071820 is a wasteful number, since it uses less digits than its factorization.

13071820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 13071820 is about 3615.4971995564. The cubic root of 13071820 is about 235.5656811372.

Adding to 13071820 its reverse (2817031), we get a palindrome (15888851).

The spelling of 13071820 in words is "thirteen million, seventy-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 181 230 314 362 460 628 724 785 905 1570 1810 3140 3611 3620 4163 7222 8326 14444 16652 18055 20815 28417 36110 41630 56834 72220 83260 113668 142085 284170 568340 653591 1307182 2614364 3267955 6535910 13071820