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21201320 = 2357229373
BaseRepresentation
bin101000011100…
…0000110101000
31110220010202002
41100320012220
520411420240
62034230132
7345131300
oct120700650
943803662
1021201320
1110a70958
127125348
13451417a
142b5c600
151cdbd15
hex14381a8

21201320 has 96 divisors (see below), whose sum is σ = 57558600. Its totient is φ = 6999552.

The previous prime is 21201311. The next prime is 21201347. The reversal of 21201320 is 2310212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17522596 + 3678724 = 4186^2 + 1918^2 .

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, 56654 + ... + 57026.

Almost surely, 221201320 is an apocalyptic number.

21201320 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 21201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28779300).

21201320 is an abundant number, since it is smaller than the sum of its proper divisors (36357280).

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

21201320 is a wasteful number, since it uses less digits than its factorization.

21201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21201320 is about 4604.4891138974. The cubic root of 21201320 is about 276.7712447993.

Adding to 21201320 its reverse (2310212), we get a palindrome (23511532).

The spelling of 21201320 in words is "twenty-one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 373 392 406 490 580 746 812 980 1015 1160 1421 1492 1624 1865 1960 2030 2611 2842 2984 3730 4060 5222 5684 7105 7460 8120 10444 10817 11368 13055 14210 14920 18277 20888 21634 26110 28420 36554 43268 52220 54085 56840 73108 75719 86536 91385 104440 108170 146216 151438 182770 216340 302876 365540 378595 432680 530033 605752 731080 757190 1060066 1514380 2120132 2650165 3028760 4240264 5300330 10600660 21201320