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21131180 = 22571491013
BaseRepresentation
bin101000010011…
…0111110101100
31110202120112022
41100212332230
520402144210
62032525312
7344416640
oct120467654
943676468
1021131180
1110a23194
1270b0838
1344bb275
142b40c20
151cc6155
hex1426fac

21131180 has 48 divisors (see below), whose sum is σ = 51105600. Its totient is φ = 7189248.

The previous prime is 21131179. The next prime is 21131183. The reversal of 21131180 is 8113112.

It is not an unprimeable number, because it can be changed into a prime (21131183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20354 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 221131180 is an apocalyptic number.

21131180 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 21131180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552800).

21131180 is an abundant number, since it is smaller than the sum of its proper divisors (29974420).

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

21131180 is a wasteful number, since it uses less digits than its factorization.

21131180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 21131180 is about 4596.8663239211. The cubic root of 21131180 is about 276.4656949222.

Adding to 21131180 its reverse (8113112), we get a palindrome (29244292).

The spelling of 21131180 in words is "twenty-one million, one hundred thirty-one thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 745 1013 1043 1490 2026 2086 2980 4052 4172 5065 5215 7091 10130 10430 14182 20260 20860 28364 35455 70910 141820 150937 301874 603748 754685 1056559 1509370 2113118 3018740 4226236 5282795 10565590 21131180