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21133500 = 2235373193
BaseRepresentation
bin101000010011…
…1100010111100
31110202200201020
41100213202330
520402233000
62032544140
7344426463
oct120474274
943680636
1021133500
1110a24a03
1270b2050
1344bc33b
142b419da
151cc6ba0
hex14278bc

21133500 has 96 divisors (see below), whose sum is σ = 62707008. Its totient is φ = 5529600.

The previous prime is 21133493. The next prime is 21133513. The reversal of 21133500 is 533112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21133500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109404 + ... + 109596.

It is an arithmetic number, because the mean of its divisors is an integer number (653198).

Almost surely, 221133500 is an apocalyptic number.

21133500 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 21133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31353504).

21133500 is an abundant number, since it is smaller than the sum of its proper divisors (41573508).

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

21133500 is a wasteful number, since it uses less digits than its factorization.

21133500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 21133500 is about 4597.1186628148. The cubic root of 21133500 is about 276.4758123086.

Adding to 21133500 its reverse (533112), we get a palindrome (21666612).

The spelling of 21133500 in words is "twenty-one million, one hundred thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 125 146 150 193 219 250 292 300 365 375 386 438 500 579 730 750 772 876 965 1095 1158 1460 1500 1825 1930 2190 2316 2895 3650 3860 4380 4825 5475 5790 7300 9125 9650 10950 11580 14089 14475 18250 19300 21900 24125 27375 28178 28950 36500 42267 48250 54750 56356 57900 70445 72375 84534 96500 109500 140890 144750 169068 211335 281780 289500 352225 422670 704450 845340 1056675 1408900 1761125 2113350 3522250 4226700 5283375 7044500 10566750 21133500