[go: up one dir, main page]

Search a number
-
+
2115235120 = 24526440439
BaseRepresentation
bin111111000010011…
…1110110100110000
312110102012002002111
41332010332310300
513313000010440
6545520455104
7103263126145
oct17604766460
95412162074
102115235120
11995aa44a9
124b047a494
132792c351b
14160cd43cc
15c5a764ea
hex7e13ed30

2115235120 has 20 divisors (see below), whose sum is σ = 4917921840. Its totient is φ = 846094016.

The previous prime is 2115235117. The next prime is 2115235127. The reversal of 2115235120 is 215325112.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×21152351202 = 8948439225762828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2115235091 and 2115235100.

It is not an unprimeable number, because it can be changed into a prime (2115235127) 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 3 ways as a sum of consecutive naturals, for example, 13220140 + ... + 13220299.

It is an arithmetic number, because the mean of its divisors is an integer number (245896092).

Almost surely, 22115235120 is an apocalyptic number.

2115235120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115235120 is an abundant number, since it is smaller than the sum of its proper divisors (2802686720).

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

2115235120 is a wasteful number, since it uses less digits than its factorization.

2115235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26440452 (or 26440446 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2115235120 is about 45991.6853355039. The cubic root of 2115235120 is about 1283.6684961815.

The spelling of 2115235120 in words is "two billion, one hundred fifteen million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26440439 52880878 105761756 132202195 211523512 264404390 423047024 528808780 1057617560 2115235120