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27830004260 = 22553109240869
BaseRepresentation
bin11001111010110011…
…000010101000100100
32122211112001200211112
4121322303002220210
5423443440114020
620441313324152
72003440063442
oct317263025044
978745050745
1027830004260
1110891348123
125488266658
13281693a656
1414c017bb92
15acd3872c5
hex67acc2a24

27830004260 has 48 divisors (see below), whose sum is σ = 60092247600. Its totient is φ = 10821717504.

The previous prime is 27830004247. The next prime is 27830004269. The reversal of 27830004260 is 6240003872.

It can be written as a sum of positive squares in 8 ways, for example, as 18438436 + 27811565824 = 4294^2 + 166768^2 .

It is a super-2 number, since 2×278300042602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27830004269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4895 + ... + 235974.

It is an arithmetic number, because the mean of its divisors is an integer number (1251921825).

Almost surely, 227830004260 is an apocalyptic number.

27830004260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27830004260 is an abundant number, since it is smaller than the sum of its proper divisors (32262243340).

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

27830004260 is a wasteful number, since it uses less digits than its factorization.

27830004260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241040 (or 241038 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 27830004260 in words is "twenty-seven billion, eight hundred thirty million, four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 109 212 218 265 436 530 545 1060 1090 2180 5777 11554 23108 28885 57770 115540 240869 481738 963476 1204345 2408690 4817380 12766057 25532114 26254721 51064228 52509442 63830285 105018884 127660570 131273605 255321140 262547210 525094420 1391500213 2783000426 5566000852 6957501065 13915002130 27830004260