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27560000260 = 22513106000001
BaseRepresentation
bin11001101010101101…
…000011101100000100
32122010201000001222101
4121222231003230010
5422420330002020
620354430241444
71663651064662
oct315255035404
978121001871
1027560000260
11107629a1121
125411956284
1327a2a12a80
141496375c32
15ab480100a
hex66ab43b04

27560000260 has 24 divisors (see below), whose sum is σ = 62328001176. Its totient is φ = 10176000000.

The previous prime is 27560000257. The next prime is 27560000267. The reversal of 27560000260 is 6200006572.

It can be written as a sum of positive squares in 4 ways, for example, as 2404137024 + 25155863236 = 49032^2 + 158606^2 .

It is a super-2 number, since 2×275600002602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27560000267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52999741 + ... + 53000260.

It is an arithmetic number, because the mean of its divisors is an integer number (2597000049).

Almost surely, 227560000260 is an apocalyptic number.

27560000260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27560000260 is an abundant number, since it is smaller than the sum of its proper divisors (34768000916).

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

27560000260 is a wasteful number, since it uses less digits than its factorization.

27560000260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106000023 (or 106000021 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

It can be divided in two parts, 275 and 60000260, that added together give a triangular number (60000535 = T10954).

The spelling of 27560000260 in words is "twenty-seven billion, five hundred sixty million, two hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 106000001 212000002 424000004 530000005 1060000010 1378000013 2120000020 2756000026 5512000052 6890000065 13780000130 27560000260