Search a number
-
+
12810690 = 2335172791
BaseRepresentation
bin110000110111…
…100111000010
3220002211222000
4300313213002
511234420230
61134324430
7213613644
oct60674702
926084860
1012810690
11725a952
124359716
132866cb9
1419b6894
1511d0b60
hexc379c2

12810690 has 64 divisors (see below), whose sum is σ = 36184320. Its totient is φ = 3214080.

The previous prime is 12810667. The next prime is 12810709. The reversal of 12810690 is 9601821.

12810690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128106902 = 328227556552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (565380).

Almost surely, 212810690 is an apocalyptic number.

12810690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092160).

12810690 is an abundant number, since it is smaller than the sum of its proper divisors (23373630).

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

12810690 is a wasteful number, since it uses less digits than its factorization.

12810690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12810690 is about 3579.2024251221. The cubic root of 12810690 is about 233.9865212486.

The spelling of 12810690 in words is "twelve million, eight hundred ten thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 2791 4590 5582 8373 13955 16746 25119 27910 41865 47447 50238 75357 83730 94894 125595 142341 150714 237235 251190 284682 376785 427023 474470 711705 753570 854046 1281069 1423410 2135115 2562138 4270230 6405345 12810690