Search a number
-
+
21116500 = 2253157269
BaseRepresentation
bin101000010001…
…1011001010100
31110201211101121
41100203121110
520401212000
62032333324
7344326066
oct120433124
943654347
1021116500
1110a13159
1270a4244
1344b4692
142b39736
151cc1b1a
hex1423654

21116500 has 48 divisors (see below), whose sum is σ = 46584720. Its totient is φ = 8361600.

The previous prime is 21116479. The next prime is 21116503. The reversal of 21116500 is 561112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14470416 + 6646084 = 3804^2 + 2578^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21116503) 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, 78366 + ... + 78634.

It is an arithmetic number, because the mean of its divisors is an integer number (970515).

Almost surely, 221116500 is an apocalyptic number.

21116500 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 21116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292360).

21116500 is an abundant number, since it is smaller than the sum of its proper divisors (25468220).

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

21116500 is a wasteful number, since it uses less digits than its factorization.

21116500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 21116500 is about 4595.2693065804. The cubic root of 21116500 is about 276.4016591137.

Adding to 21116500 its reverse (561112), we get a palindrome (21677612).

The spelling of 21116500 in words is "twenty-one million, one hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 157 250 269 314 500 538 628 785 1076 1345 1570 2690 3140 3925 5380 6725 7850 13450 15700 19625 26900 33625 39250 42233 67250 78500 84466 134500 168932 211165 422330 844660 1055825 2111650 4223300 5279125 10558250 21116500