Search a number
-
+
21272304 = 24317131199
BaseRepresentation
bin101000100100…
…1011011110000
31111000202010010
41101021123300
520421203204
62035534520
7345545244
oct121113360
944022103
1021272304
111100a219
12715a440
13453a581
142b7a424
151d02d89
hex14496f0

21272304 has 80 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 6589440.

The previous prime is 21272297. The next prime is 21272311. The reversal of 21272304 is 40327212.

It is an interprime number because it is at equal distance from previous prime (21272297) and next prime (21272311).

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 15 ways as a sum of consecutive naturals, for example, 106797 + ... + 106995.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 221272304 is an apocalyptic number.

21272304 is a gapful number since it is divisible by the number (24) 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 21272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

21272304 is an abundant number, since it is smaller than the sum of its proper divisors (37652496).

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

21272304 is a wasteful number, since it uses less digits than its factorization.

21272304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 21272304 is about 4612.1908026447. The cubic root of 21272304 is about 277.0797860414.

Adding to 21272304 its reverse (40327212), we get a palindrome (61599516).

The spelling of 21272304 in words is "twenty-one million, two hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 199 204 262 272 393 398 408 524 597 786 796 816 1048 1194 1572 1592 2096 2227 2388 3144 3184 3383 4454 4776 6288 6681 6766 8908 9552 10149 13362 13532 17816 20298 26069 26724 27064 35632 40596 52138 53448 54128 78207 81192 104276 106896 156414 162384 208552 312828 417104 443173 625656 886346 1251312 1329519 1772692 2659038 3545384 5318076 7090768 10636152 21272304