Search a number
-
+
2116785040 = 24526459813
BaseRepresentation
bin111111000101011…
…1001001110010000
312110112002211011221
41332022321032100
513313344110130
6550014014424
7103312242646
oct17612711620
95415084157
102116785040
11996962a27
124b0aa7414
13279716b36
141611b9196
15c5c8087a
hex7e2b9390

2116785040 has 20 divisors (see below), whose sum is σ = 4921525404. Its totient is φ = 846713984.

The previous prime is 2116785019. The next prime is 2116785049. The reversal of 2116785040 is 405876112.

It can be written as a sum of positive squares in 2 ways, for example, as 1122518016 + 994267024 = 33504^2 + 31532^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2116784987 and 2116785005.

It is not an unprimeable number, because it can be changed into a prime (2116785049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13229827 + ... + 13229986.

Almost surely, 22116785040 is an apocalyptic number.

2116785040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116785040 is an abundant number, since it is smaller than the sum of its proper divisors (2804740364).

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

2116785040 is a wasteful number, since it uses less digits than its factorization.

2116785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26459826 (or 26459820 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 2116785040 is about 46008.5322521812. The cubic root of 2116785040 is about 1283.9819519142.

The spelling of 2116785040 in words is "two billion, one hundred sixteen million, seven hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26459813 52919626 105839252 132299065 211678504 264598130 423357008 529196260 1058392520 2116785040