Search a number
-
+
21980310 = 23511431549
BaseRepresentation
bin101001111011…
…0010010010110
31112100201022120
41103312102112
521111332220
62103040410
7354554352
oct123662226
945321276
1021980310
1111453150
127440106
134727901
142cc2462
151de2a40
hex14f6496

21980310 has 64 divisors (see below), whose sum is σ = 58924800. Its totient is φ = 5201280.

The previous prime is 21980293. The next prime is 21980317. The reversal of 21980310 is 1308912.

It is a super-2 number, since 2×219803102 = 966268055392200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21980317) 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 31 ways as a sum of consecutive naturals, for example, 13416 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 221980310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21980310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29462400).

21980310 is an abundant number, since it is smaller than the sum of its proper divisors (36944490).

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

21980310 is a wasteful number, since it uses less digits than its factorization.

21980310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 21980310 is about 4688.3163289181. The cubic root of 21980310 is about 280.1203139408.

The spelling of 21980310 in words is "twenty-one million, nine hundred eighty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 1549 2365 2838 3098 4647 4730 7095 7745 9294 14190 15490 17039 23235 34078 46470 51117 66607 85195 102234 133214 170390 199821 255585 333035 399642 511170 666070 732677 999105 1465354 1998210 2198031 3663385 4396062 7326770 10990155 21980310