Search a number
-
+
12076180 = 2252947443
BaseRepresentation
bin101110000100…
…010010010100
3211201112101221
4232010102110
511042414210
61110500124
7204434344
oct56042224
924645357
1012076180
1168a9016
124064644
13266a88c
141864d24
1510d81da
hexb84494

12076180 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 4554368.

The previous prime is 12076159. The next prime is 12076193. The reversal of 12076180 is 8167021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27039 + ... + 27481.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 212076180 is an apocalyptic number.

12076180 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 12076180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

12076180 is an abundant number, since it is smaller than the sum of its proper divisors (14776940).

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

12076180 is a wasteful number, since it uses less digits than its factorization.

12076180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12076180 is about 3475.0798551976. The cubic root of 12076180 is about 229.4262954275.

Subtracting from 12076180 its sum of digits (25), we obtain a triangular number (12076155 = T4914).

The spelling of 12076180 in words is "twelve million, seventy-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 443 470 580 886 940 1363 1772 2215 2726 4430 5452 6815 8860 12847 13630 20821 25694 27260 41642 51388 64235 83284 104105 128470 208210 256940 416420 603809 1207618 2415236 3019045 6038090 12076180