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20052360 = 233552063
BaseRepresentation
bin100110001111…
…1100110001000
31101201202200000
41030133212020
520113133420
61553443000
7332304456
oct114374610
941652600
1020052360
11103566a9
126870460
134201203
14293d9d6
151b61690
hex131f988

20052360 has 96 divisors (see below), whose sum is σ = 67616640. Its totient is φ = 5344704.

The previous prime is 20052341. The next prime is 20052397. The reversal of 20052360 is 6325002.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8689 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (704340).

Almost surely, 220052360 is an apocalyptic number.

20052360 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 20052360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808320).

20052360 is an abundant number, since it is smaller than the sum of its proper divisors (47564280).

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

20052360 is a wasteful number, since it uses less digits than its factorization.

20052360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20052360 is about 4477.9861545119. The cubic root of 20052360 is about 271.6784334213.

Adding to 20052360 its reverse (6325002), we get a palindrome (26377362).

The spelling of 20052360 in words is "twenty million, fifty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2063 2430 3240 4126 4860 6189 8252 9720 10315 12378 16504 18567 20630 24756 30945 37134 41260 49512 55701 61890 74268 82520 92835 111402 123780 148536 167103 185670 222804 247560 278505 334206 371340 445608 501309 557010 668412 742680 835515 1002618 1114020 1336824 1671030 2005236 2228040 2506545 3342060 4010472 5013090 6684120 10026180 20052360