Search a number
-
+
12166830 = 23251310399
BaseRepresentation
bin101110011010…
…011010101110
3211220010202100
4232122122232
511103314310
61112435530
7205262544
oct56323256
924803670
1012166830
116960135
1240a8ba6
13269cc10
141889d94
151104ec0
hexb9a6ae

12166830 has 48 divisors (see below), whose sum is σ = 34070400. Its totient is φ = 2994624.

The previous prime is 12166813. The next prime is 12166841. The reversal of 12166830 is 3866121.

It is a junction number, because it is equal to n+sod(n) for n = 12166794 and 12166803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 212166830 is an apocalyptic number.

12166830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12166830 is an abundant number, since it is smaller than the sum of its proper divisors (21903570).

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

12166830 is a wasteful number, since it uses less digits than its factorization.

12166830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12166830 is about 3488.0983357698. The cubic root of 12166830 is about 229.9989287915.

It can be divided in two parts, 12166 and 830, that added together give a square (12996 = 1142).

The spelling of 12166830 in words is "twelve million, one hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10399 20798 31197 51995 62394 93591 103990 135187 155985 187182 270374 311970 405561 467955 675935 811122 935910 1216683 1351870 2027805 2433366 4055610 6083415 12166830