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242865 = 3357257
BaseRepresentation
bin111011010010110001
3110100011000
4323102301
530232430
65112213
72031030
oct732261
9410130
10242865
11156517
12b8669
138670c
1464717
154be60
hex3b4b1

242865 has 32 divisors (see below), whose sum is σ = 495360. Its totient is φ = 110592.

The previous prime is 242863. The next prime is 242867. The reversal of 242865 is 568242.

It is an interprime number because it is at equal distance from previous prime (242863) and next prime (242867).

It is not a de Polignac number, because 242865 - 21 = 242863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

242865 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 242865.

It is not an unprimeable number, because it can be changed into a prime (242863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (15480).

2242865 is an apocalyptic number.

It is an amenable number.

242865 is an abundant number, since it is smaller than the sum of its proper divisors (252495).

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

242865 is a wasteful number, since it uses less digits than its factorization.

242865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 242865 is about 492.8133520918. The cubic root of 242865 is about 62.3909565297.

The spelling of 242865 in words is "two hundred forty-two thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 257 315 771 945 1285 1799 2313 3855 5397 6939 8995 11565 16191 26985 34695 48573 80955 242865