Search a number
-
+
20707180 = 22513731091
BaseRepresentation
bin100111011111…
…1011101101100
31102222000220121
41032333131230
520300112210
62015454324
7341002534
oct116773554
942860817
1020707180
111076367a
126b273a4
1343a0290
142a704c4
151c406da
hex13bf76c

20707180 has 48 divisors (see below), whose sum is σ = 47515104. Its totient is φ = 7534080.

The previous prime is 20707177. The next prime is 20707187. The reversal of 20707180 is 8170702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20707187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18435 + ... + 19525.

It is an arithmetic number, because the mean of its divisors is an integer number (989898).

Almost surely, 220707180 is an apocalyptic number.

20707180 is a gapful number since it is divisible by the number (20) 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 20707180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757552).

20707180 is an abundant number, since it is smaller than the sum of its proper divisors (26807924).

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

20707180 is a wasteful number, since it uses less digits than its factorization.

20707180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 20707180 is about 4550.5142566528. The cubic root of 20707180 is about 274.6040804028.

Adding to 20707180 its reverse (8170702), we get a palindrome (28877882).

The spelling of 20707180 in words is "twenty million, seven hundred seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1091 1460 1898 2182 3796 4364 4745 5455 9490 10910 14183 18980 21820 28366 56732 70915 79643 141830 159286 283660 318572 398215 796430 1035359 1592860 2070718 4141436 5176795 10353590 20707180