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240068000 = 255360017
BaseRepresentation
bin11100100111100…
…10010110100000
3121201201201101102
432103302112200
5442424134000
635453253532
75643354464
oct1623622640
9551651342
10240068000
1111356a707
12684942a8
133a975a93
1423c524a4
15161213d5
hexe4f25a0

240068000 has 48 divisors (see below), whose sum is σ = 589856904. Its totient is φ = 96025600.

The previous prime is 240067987. The next prime is 240068027. The reversal of 240068000 is 860042.

It can be written as a sum of positive squares in 4 ways, for example, as 119858704 + 120209296 = 10948^2 + 10964^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26009 + ... + 34008.

Almost surely, 2240068000 is an apocalyptic number.

240068000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240068000 is an abundant number, since it is smaller than the sum of its proper divisors (349788904).

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

240068000 is an equidigital number, since it uses as much as digits as its factorization.

240068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60042 (or 60024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 240068000 is about 15494.1279199573. The cubic root of 240068000 is about 621.5051878181.

The spelling of 240068000 in words is "two hundred forty million, sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 60017 120034 240068 300085 480136 600170 960272 1200340 1500425 1920544 2400680 3000850 4801360 6001700 7502125 9602720 12003400 15004250 24006800 30008500 48013600 60017000 120034000 240068000