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21116316 = 22313223607
BaseRepresentation
bin101000010001…
…1010110011100
31110201211010210
41100203112130
520401210231
62032332420
7344325414
oct120432634
943654123
1021116316
1110a13001
1270a4110
1344b4580
142b39644
151cc1a46
hex142359c

21116316 has 48 divisors (see below), whose sum is σ = 53387264. Its totient is φ = 6457536.

The previous prime is 21116299. The next prime is 21116317. The reversal of 21116316 is 61361112.

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 = 21116292 and 21116301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21116317) 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, 34485 + ... + 35091.

Almost surely, 221116316 is an apocalyptic number.

21116316 is a gapful number since it is divisible by the number (26) 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 21116316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26693632).

21116316 is an abundant number, since it is smaller than the sum of its proper divisors (32270948).

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

21116316 is a wasteful number, since it uses less digits than its factorization.

21116316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 21116316 is about 4595.2492859474. The cubic root of 21116316 is about 276.4008562967.

Adding to 21116316 its reverse (61361112), we get a palindrome (82477428).

The spelling of 21116316 in words is "twenty-one million, one hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 446 607 669 892 1214 1338 1821 2428 2676 2899 3642 5798 7284 7891 8697 11596 15782 17394 23673 31564 34788 47346 94692 135361 270722 406083 541444 812166 1624332 1759693 3519386 5279079 7038772 10558158 21116316