Search a number
-
+
21303000 = 233453263
BaseRepresentation
bin101000101000…
…0111011011000
31111002022020000
41101100323120
520423144000
62040333000
7346033605
oct121207330
944068200
1021303000
1111030294
127174160
13454b534
142b876ac
151d0c000
hex1450ed8

21303000 has 160 divisors (see below), whose sum is σ = 74748960. Its totient is φ = 5659200.

The previous prime is 21302993. The next prime is 21303011. The reversal of 21303000 is 30312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 80869 + ... + 81131.

It is an arithmetic number, because the mean of its divisors is an integer number (467181).

Almost surely, 221303000 is an apocalyptic number.

21303000 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 21303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37374480).

21303000 is an abundant number, since it is smaller than the sum of its proper divisors (53445960).

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

21303000 is a wasteful number, since it uses less digits than its factorization.

21303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 21303000 is about 4615.5173057849. The cubic root of 21303000 is about 277.2129976477.

Adding to 21303000 its reverse (30312), we get a palindrome (21333312).

The spelling of 21303000 in words is "twenty-one million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 263 270 300 324 360 375 405 450 500 526 540 600 648 675 750 789 810 900 1000 1052 1080 1125 1315 1350 1500 1578 1620 1800 2025 2104 2250 2367 2630 2700 3000 3156 3240 3375 3945 4050 4500 4734 5260 5400 6312 6575 6750 7101 7890 8100 9000 9468 10125 10520 11835 13150 13500 14202 15780 16200 18936 19725 20250 21303 23670 26300 27000 28404 31560 32875 35505 39450 40500 42606 47340 52600 56808 59175 65750 71010 78900 81000 85212 94680 98625 106515 118350 131500 142020 157800 170424 177525 197250 213030 236700 263000 284040 295875 355050 394500 426060 473400 532575 591750 710100 789000 852120 887625 1065150 1183500 1420200 1775250 2130300 2367000 2662875 3550500 4260600 5325750 7101000 10651500 21303000