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269042085 = 325132172081
BaseRepresentation
bin10000000010010…
…100000110100101
3200202020202100200
4100002110012211
51022333321320
642410301113
76444551154
oct2002240645
9622222320
10269042085
1112895a334
1276127799
134397bb00
1427a3559b
1518946290
hex100941a5

269042085 has 72 divisors (see below), whose sum is σ = 534932424. Its totient is φ = 124600320.

The previous prime is 269042069. The next prime is 269042089. The reversal of 269042085 is 580240962.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 129754881 + 139287204 = 11391^2 + 11802^2 .

It is not a de Polignac number, because 269042085 - 24 = 269042069 is a prime.

It is a super-2 number, since 2×2690420852 = 144767287002294450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269042089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128245 + ... + 130325.

It is an arithmetic number, because the mean of its divisors is an integer number (7429617).

Almost surely, 2269042085 is an apocalyptic number.

It is an amenable number.

269042085 is a deficient number, since it is larger than the sum of its proper divisors (265890339).

269042085 is a wasteful number, since it uses less digits than its factorization.

269042085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 269042085 is about 16402.5024005485. The cubic root of 269042085 is about 645.5651437652.

The spelling of 269042085 in words is "two hundred sixty-nine million, forty-two thousand, eighty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 169 195 221 255 507 585 663 765 845 1105 1521 1989 2081 2535 2873 3315 6243 7605 8619 9945 10405 14365 18729 25857 27053 31215 35377 43095 81159 93645 106131 129285 135265 176885 243477 318393 351689 405795 459901 530655 1055067 1217385 1379703 1591965 1758445 2299505 3165201 4139109 5275335 5978713 6898515 15826005 17936139 20695545 29893565 53808417 89680695 269042085