Search a number
-
+
2114001320 = 23573372101
BaseRepresentation
bin111111000000001…
…0001100110101000
312110022212101122012
41332000101212220
513312141020240
6545434215052
7103246500104
oct17600214650
95408771565
102114001320
11995331532
124abb84488
13278c80a72
14160a92904
15c58d0b65
hex7e0119a8

2114001320 has 32 divisors (see below), whose sum is σ = 4763058120. Its totient is φ = 844435200.

The previous prime is 2114001319. The next prime is 2114001361. The reversal of 2114001320 is 231004112.

It can be written as a sum of positive squares in 4 ways, for example, as 1901483236 + 212518084 = 43606^2 + 14578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2114001295 and 2114001304.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6731 + ... + 65370.

Almost surely, 22114001320 is an apocalyptic number.

2114001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114001320 is an abundant number, since it is smaller than the sum of its proper divisors (2649056800).

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

2114001320 is a wasteful number, since it uses less digits than its factorization.

2114001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72845 (or 72841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2114001320 is about 45978.2700848999. The cubic root of 2114001320 is about 1283.4188630614.

Adding to 2114001320 its reverse (231004112), we get a palindrome (2345005432).

The spelling of 2114001320 in words is "two billion, one hundred fourteen million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 733 1466 2932 3665 5864 7330 14660 29320 72101 144202 288404 360505 576808 721010 1442020 2884040 52850033 105700066 211400132 264250165 422800264 528500330 1057000660 2114001320