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21116260 = 22511531811
BaseRepresentation
bin101000010001…
…1010101100100
31110201211001201
41100203111210
520401210020
62032332244
7344325304
oct120432544
943654051
1021116260
1110a12a60
1270a4084
1344b4539
142b39604
151cc1a0a
hex1423564

21116260 has 48 divisors (see below), whose sum is σ = 49315392. Its totient is φ = 7529600.

The previous prime is 21116257. The next prime is 21116267. The reversal of 21116260 is 6261112.

It is not an unprimeable number, because it can be changed into a prime (21116267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 12565.

It is an arithmetic number, because the mean of its divisors is an integer number (1027404).

Almost surely, 221116260 is an apocalyptic number.

21116260 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 21116260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657696).

21116260 is an abundant number, since it is smaller than the sum of its proper divisors (28199132).

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

21116260 is a wasteful number, since it uses less digits than its factorization.

21116260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 21116260 is about 4595.2431926939. The cubic root of 21116260 is about 276.4006119602.

Adding to 21116260 its reverse (6261112), we get a palindrome (27377372).

It can be divided in two parts, 211 and 16260, that added together give a triangular number (16471 = T181).

The spelling of 21116260 in words is "twenty-one million, one hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 1811 2332 2915 3622 5830 7244 9055 11660 18110 19921 36220 39842 79684 95983 99605 191966 199210 383932 398420 479915 959830 1055813 1919660 2111626 4223252 5279065 10558130 21116260