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240242000 = 2453120121
BaseRepresentation
bin11100101000111…
…00110101010000
3121202001120001212
432110130311100
5443000221000
635501115252
75645010665
oct1624346520
9552046055
10240242000
11113679409
1268558b28
133aa0703b
1423c99a6c
1516157c35
hexe51cd50

240242000 has 40 divisors (see below), whose sum is σ = 580909992. Its totient is φ = 96096000.

The previous prime is 240241997. The next prime is 240242021. The reversal of 240242000 is 242042.

It is a happy number.

240242000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1106704 + 239135296 = 1052^2 + 15464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 58061 + ... + 62060.

Almost surely, 2240242000 is an apocalyptic number.

240242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240242000 is an abundant number, since it is smaller than the sum of its proper divisors (340667992).

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

240242000 is a wasteful number, since it uses less digits than its factorization.

240242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120144 (or 120128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 240242000 is about 15499.7419333355. The cubic root of 240242000 is about 621.6553060989.

Adding to 240242000 its reverse (242042), we get a palindrome (240484042).

The spelling of 240242000 in words is "two hundred forty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 120121 240242 480484 600605 960968 1201210 1921936 2402420 3003025 4804840 6006050 9609680 12012100 15015125 24024200 30030250 48048400 60060500 120121000 240242000