Search a number
-
+
2115345040 = 24526441813
BaseRepresentation
bin111111000010101…
…1001101010010000
312110102101122212121
41332011121222100
513313012020130
6545523104024
7103264064464
oct17605315220
95412348777
102115345040
1199606a046
124b0512014
13279331573
14160d224a4
15c5a98d7a
hex7e159a90

2115345040 has 20 divisors (see below), whose sum is σ = 4918177404. Its totient is φ = 846137984.

The previous prime is 2115345013. The next prime is 2115345049. The reversal of 2115345040 is 405435112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1138657536 + 976687504 = 33744^2 + 31252^2 .

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 = 2115344996 and 2115345014.

It is not an unprimeable number, because it can be changed into a prime (2115345049) 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, 13220827 + ... + 13220986.

Almost surely, 22115345040 is an apocalyptic number.

2115345040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115345040 is an abundant number, since it is smaller than the sum of its proper divisors (2802832364).

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

2115345040 is a wasteful number, since it uses less digits than its factorization.

2115345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26441826 (or 26441820 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2115345040 is about 45992.8803185884. The cubic root of 2115345040 is about 1283.6907314397.

The spelling of 2115345040 in words is "two billion, one hundred fifteen million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26441813 52883626 105767252 132209065 211534504 264418130 423069008 528836260 1057672520 2115345040