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2113620160 = 2657339011
BaseRepresentation
bin111110111111011…
…0100100011000000
312110022011000210011
41331332310203000
513312041321120
6545422114304
7103243321621
oct17576644300
95408130704
102113620160
119950a1123
124aba1b994
13278b79422
141609d3a48
15c5857c5a
hex7dfb48c0

2113620160 has 56 divisors (see below), whose sum is σ = 5040483696. Its totient is φ = 844200960.

The previous prime is 2113620143. The next prime is 2113620163. The reversal of 2113620160 is 610263112.

It is not an unprimeable number, because it can be changed into a prime (2113620163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230055 + ... + 239065.

Almost surely, 22113620160 is an apocalyptic number.

2113620160 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 2113620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520241848).

2113620160 is an abundant number, since it is smaller than the sum of its proper divisors (2926863536).

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

2113620160 is an equidigital number, since it uses as much as digits as its factorization.

2113620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9751 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2113620160 is about 45974.1248965111. The cubic root of 2113620160 is about 1283.3417238259.

Adding to 2113620160 its reverse (610263112), we get a palindrome (2723883272).

The spelling of 2113620160 in words is "two billion, one hundred thirteen million, six hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 733 1466 2932 3665 5864 7330 9011 11728 14660 18022 23456 29320 36044 45055 46912 58640 72088 90110 117280 144176 180220 234560 288352 360440 576704 720880 1441760 2883520 6605063 13210126 26420252 33025315 52840504 66050630 105681008 132101260 211362016 264202520 422724032 528405040 1056810080 2113620160