Search a number
-
+
20011368 = 23313312069
BaseRepresentation
bin100110001010…
…1100101101000
31101122200102210
41030111211220
520110330433
61552525120
7332044116
oct114254550
941580383
1020011368
1110328923
1268507a0
1341b8660
14292cab6
151b54463
hex1315968

20011368 has 64 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 5955840.

The previous prime is 20011361. The next prime is 20011373. The reversal of 20011368 is 86311002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011361) by changing a digit.

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, 8638 + ... + 10706.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 220011368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820800).

20011368 is an abundant number, since it is smaller than the sum of its proper divisors (35630232).

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

20011368 is a wasteful number, since it uses less digits than its factorization.

20011368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20011368 is about 4473.4067554829. The cubic root of 20011368 is about 271.4931810842.

The spelling of 20011368 in words is "twenty million, eleven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2069 2418 3224 4138 4836 6207 8276 9672 12414 16552 24828 26897 49656 53794 64139 80691 107588 128278 161382 192417 215176 256556 322764 384834 513112 645528 769668 833807 1539336 1667614 2501421 3335228 5002842 6670456 10005684 20011368