Search a number
-
+
2135413420 = 225719802787
BaseRepresentation
bin111111101000111…
…1101001010101100
312111211011020111221
41333101331022230
513333131212140
6551521153124
7103626500050
oct17721751254
95454136457
102135413420
119a6426788
124b718b7a4
13280539b4a
14163867c60
15c771014a
hex7f47d2ac

2135413420 has 48 divisors (see below), whose sum is σ = 5394735360. Its totient is φ = 693607104.

The previous prime is 2135413417. The next prime is 2135413451. The reversal of 2135413420 is 243145312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398734 + ... + 404053.

It is an arithmetic number, because the mean of its divisors is an integer number (112390320).

Almost surely, 22135413420 is an apocalyptic number.

2135413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135413420 is an abundant number, since it is smaller than the sum of its proper divisors (3259321940).

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

2135413420 is a wasteful number, since it uses less digits than its factorization.

2135413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802822 (or 802820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2135413420 is about 46210.5336476436. The cubic root of 2135413420 is about 1287.7374397291.

Adding to 2135413420 its reverse (243145312), we get a palindrome (2378558732).

The spelling of 2135413420 in words is "two billion, one hundred thirty-five million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 802787 1605574 3211148 4013935 5619509 8027870 11239018 15252953 16055740 22478036 28097545 30505906 56195090 61011812 76264765 106770671 112390180 152529530 213541342 305059060 427082684 533853355 1067706710 2135413420