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21306300 = 22352293179
BaseRepresentation
bin101000101000…
…1101110111100
31111002110202020
41101101232330
520423300200
62040400140
7346046331
oct121215674
944073666
1021306300
1111032814
127176050
13454cba2
142b88988
151d0cea0
hex1451bbc

21306300 has 144 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 5241600.

The previous prime is 21306293. The next prime is 21306301. The reversal of 21306300 is 360312.

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 21306300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269661 + ... + 269739.

Almost surely, 221306300 is an apocalyptic number.

21306300 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 21306300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

21306300 is an abundant number, since it is smaller than the sum of its proper divisors (45356100).

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

21306300 is a wasteful number, since it uses less digits than its factorization.

21306300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 21306300 is about 4615.8747816638. The cubic root of 21306300 is about 277.2273110568.

Adding to 21306300 its reverse (360312), we get a palindrome (21666612).

The spelling of 21306300 in words is "twenty-one million, three hundred six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 31 50 58 60 62 75 79 87 93 100 116 124 145 150 155 158 174 186 237 290 300 310 316 348 372 395 435 465 474 580 620 725 775 790 870 899 930 948 1185 1450 1550 1580 1740 1798 1860 1975 2175 2291 2325 2370 2449 2697 2900 3100 3596 3950 4350 4495 4582 4650 4740 4898 5394 5925 6873 7347 7900 8700 8990 9164 9300 9796 10788 11455 11850 12245 13485 13746 14694 17980 22475 22910 23700 24490 26970 27492 29388 34365 36735 44950 45820 48980 53940 57275 61225 67425 68730 71021 73470 89900 114550 122450 134850 137460 142042 146940 171825 183675 213063 229100 244900 269700 284084 343650 355105 367350 426126 687300 710210 734700 852252 1065315 1420420 1775525 2130630 3551050 4261260 5326575 7102100 10653150 21306300