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21262116 = 22353101331
BaseRepresentation
bin101000100011…
…0111100100100
31111000020010210
41101012330210
520420341431
62035415420
7345503451
oct121067444
944006123
1021262116
11110025a7
127154570
134535a45
142b76828
151ceed46
hex1446f24

21262116 has 48 divisors (see below), whose sum is σ = 51202368. Its totient is φ = 6864000.

The previous prime is 21262103. The next prime is 21262117. The reversal of 21262116 is 61126212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21262092 and 21262101.

It is not an unprimeable number, because it can be changed into a prime (21262117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64071 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (1066716).

Almost surely, 221262116 is an apocalyptic number.

It is an amenable number.

21262116 is an abundant number, since it is smaller than the sum of its proper divisors (29940252).

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

21262116 is a wasteful number, since it uses less digits than its factorization.

21262116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 21262116 is about 4611.0862060907. The cubic root of 21262116 is about 277.0355447964.

Adding to 21262116 its reverse (61126212), we get a palindrome (82388328).

The spelling of 21262116 in words is "twenty-one million, two hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 53 101 106 159 202 212 303 318 331 404 606 636 662 993 1212 1324 1986 3972 5353 10706 16059 17543 21412 32118 33431 35086 52629 64236 66862 70172 100293 105258 133724 200586 210516 401172 1771843 3543686 5315529 7087372 10631058 21262116