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21330300 = 2235297733
BaseRepresentation
bin101000101011…
…1100101111100
31111010200200010
41101113211330
520430032200
62041103220
7346206315
oct121274574
944120603
1021330300
1111049852
127187b10
13455aaa4
142b9360c
151d15150
hex145797c

21330300 has 72 divisors (see below), whose sum is σ = 62436976. Its totient is φ = 5621760.

The previous prime is 21330299. The next prime is 21330311. The reversal of 21330300 is 303312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28734 + ... + 29466.

Almost surely, 221330300 is an apocalyptic number.

21330300 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 21330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31218488).

21330300 is an abundant number, since it is smaller than the sum of its proper divisors (41106676).

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

21330300 is a wasteful number, since it uses less digits than its factorization.

21330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 21330300 is about 4618.4737738781. The cubic root of 21330300 is about 277.3313641430.

Subtracting from 21330300 its product of nonzero digits (54), we obtain a triangular number (21330246 = T6531).

Adding to 21330300 its reverse (303312), we get a palindrome (21633612).

The spelling of 21330300 in words is "twenty-one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 733 970 1164 1455 1466 1940 2199 2425 2910 2932 3665 4398 4850 5820 7275 7330 8796 9700 10995 14550 14660 18325 21990 29100 36650 43980 54975 71101 73300 109950 142202 213303 219900 284404 355505 426606 711010 853212 1066515 1422020 1777525 2133030 3555050 4266060 5332575 7110100 10665150 21330300