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20613320 = 2357213809
BaseRepresentation
bin100111010100…
…0100011001000
31102210021011022
41032220203020
520234111240
62013452012
7340132100
oct116504310
942707138
1020613320
11106aa102
126aa1008
134369640
142a48200
151c229b5
hex13a88c8

20613320 has 96 divisors (see below), whose sum is σ = 58174200. Its totient is φ = 6515712.

The previous prime is 20613301. The next prime is 20613323. The reversal of 20613320 is 2331602.

It can be written as a sum of positive squares in 4 ways, for example, as 16826404 + 3786916 = 4102^2 + 1946^2 .

It is a super-2 number, since 2×206133202 = 849817922844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20613323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25076 + ... + 25884.

Almost surely, 220613320 is an apocalyptic number.

20613320 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 20613320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29087100).

20613320 is an abundant number, since it is smaller than the sum of its proper divisors (37560880).

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

20613320 is a wasteful number, since it uses less digits than its factorization.

20613320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 20613320 is about 4540.1894233611. The cubic root of 20613320 is about 274.1885501370.

Adding to 20613320 its reverse (2331602), we get a palindrome (22944922).

The spelling of 20613320 in words is "twenty million, six hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 809 910 980 1274 1618 1820 1960 2548 3185 3236 3640 4045 5096 5663 6370 6472 8090 10517 11326 12740 16180 21034 22652 25480 28315 32360 39641 42068 45304 52585 56630 73619 79282 84136 105170 113260 147238 158564 198205 210340 226520 294476 317128 368095 396410 420680 515333 588952 736190 792820 1030666 1472380 1585640 2061332 2576665 2944760 4122664 5153330 10306660 20613320