Search a number
-
+
12667820 = 2251171811
BaseRepresentation
bin110000010100…
…101110101100
3212211120222112
4300110232230
511220332240
61131303152
7212450264
oct60245654
925746875
1012667820
117172580
1242aaab8
132816c69
14197a7a4
1511a3665
hexc14bac

12667820 has 48 divisors (see below), whose sum is σ = 29465856. Its totient is φ = 4536000.

The previous prime is 12667817. The next prime is 12667829. The reversal of 12667820 is 2876621.

It is not an unprimeable number, because it can be changed into a prime (12667829) 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, 15215 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (613872).

Almost surely, 212667820 is an apocalyptic number.

12667820 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 12667820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732928).

12667820 is an abundant number, since it is smaller than the sum of its proper divisors (16798036).

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

12667820 is a wasteful number, since it uses less digits than its factorization.

12667820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 12667820 is about 3559.1881096677. The cubic root of 12667820 is about 233.1134300070.

The spelling of 12667820 in words is "twelve million, six hundred sixty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 811 1420 1562 1622 3124 3244 3905 4055 7810 8110 8921 15620 16220 17842 35684 44605 57581 89210 115162 178420 230324 287905 575810 633391 1151620 1266782 2533564 3166955 6333910 12667820