Search a number
-
+
540098792660 = 22572551121217
BaseRepresentation
bin1111101110000000110…
…01011000110011010100
31220122002102011102210102
413313000121120303110
532322110242331120
61052041251313232
754010102663400
oct7670031306324
91818072142712
10540098792660
11199066762969
1288811bab818
133bc1481041b
141c1d898a100
15e0b1131d75
hex7dc0658cd4

540098792660 has 36 divisors (see below), whose sum is σ = 1319384195892. Its totient is φ = 185176728576.

The previous prime is 540098792609. The next prime is 540098792713. The reversal of 540098792660 is 66297890045.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 354925211536 + 185173581124 = 595756^2 + 430318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540098792596 and 540098792605.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 275559629 + ... + 275561588.

It is an arithmetic number, because the mean of its divisors is an integer number (36649560997).

Almost surely, 2540098792660 is an apocalyptic number.

It is an amenable number.

540098792660 is an abundant number, since it is smaller than the sum of its proper divisors (779285403232).

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

540098792660 is a wasteful number, since it uses less digits than its factorization.

540098792660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551121240 (or 551121231 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 540098792660 in words is "five hundred forty billion, ninety-eight million, seven hundred ninety-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 551121217 1102242434 2204484868 2755606085 3857848519 5511212170 7715697038 11022424340 15431394076 19289242595 27004939633 38578485190 54009879266 77156970380 108019758532 135024698165 270049396330 540098792660