Search a number
-
+
2115165540 = 2235160721937
BaseRepresentation
bin111111000010010…
…1101110101100100
312110102001112122110
41332010231311210
513312440244130
6545515201020
7103262416245
oct17604556544
95412045573
102115165540
11995a571a4
124b0446170
1327929a957
14160cb6ccc
15c5a60ab0
hex7e12dd64

2115165540 has 48 divisors (see below), whose sum is σ = 5926419072. Its totient is φ = 563667456.

The previous prime is 2115165509. The next prime is 2115165541. The reversal of 2115165540 is 455615112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2115165498 and 2115165507.

It is not an unprimeable number, because it can be changed into a prime (2115165541) 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 15 ways as a sum of consecutive naturals, for example, 85452 + ... + 107388.

It is an arithmetic number, because the mean of its divisors is an integer number (123467064).

Almost surely, 22115165540 is an apocalyptic number.

2115165540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2115165540 is an abundant number, since it is smaller than the sum of its proper divisors (3811253532).

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

2115165540 is a wasteful number, since it uses less digits than its factorization.

2115165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23556 (or 23554 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 2115165540 is about 45990.9288882058. The cubic root of 2115165540 is about 1283.6544207354.

The spelling of 2115165540 in words is "two billion, one hundred fifteen million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1607 3214 4821 6428 8035 9642 16070 19284 21937 24105 32140 43874 48210 65811 87748 96420 109685 131622 219370 263244 329055 438740 658110 1316220 35252759 70505518 105758277 141011036 176263795 211516554 352527590 423033108 528791385 705055180 1057582770 2115165540