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240250000 = 2456312
BaseRepresentation
bin11100101000111…
…10110010010000
3121202001222001011
432110132302100
5443001000000
635501220304
75645043214
oct1624366220
9552058034
10240250000
11113684421
1268561694
133aa0a883
1423c9c944
151615a2ba
hexe51ec90

240250000 has 105 divisors (see below), whose sum is σ = 601222773. Its totient is φ = 93000000.

The previous prime is 240249979. The next prime is 240250033. The reversal of 240250000 is 52042.

It is a happy number.

The square root of 240250000 is 15500.

It is a perfect power (a square), and thus also a powerful number.

240250000 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 3 ways, for example, as 210482064 + 29767936 = 14508^2 + 5456^2 .

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 20 ways as a sum of consecutive naturals, for example, 7749985 + ... + 7750015.

Almost surely, 2240250000 is an apocalyptic number.

240250000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240250000 is the 15500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240250000

240250000 is an abundant number, since it is smaller than the sum of its proper divisors (360972773).

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

240250000 is an frugal number, since it uses more digits than its factorization.

240250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 240250000 is about 621.6622063456.

The spelling of 240250000 in words is "two hundred forty million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 961 1000 1240 1250 1550 1922 2000 2480 2500 3100 3125 3844 3875 4805 5000 6200 6250 7688 7750 9610 10000 12400 12500 15376 15500 15625 19220 19375 24025 25000 31000 31250 38440 38750 48050 50000 62000 62500 76880 77500 96100 96875 120125 125000 155000 192200 193750 240250 250000 310000 384400 387500 480500 484375 600625 775000 961000 968750 1201250 1550000 1922000 1937500 2402500 3003125 3875000 4805000 6006250 7750000 9610000 12012500 15015625 24025000 30031250 48050000 60062500 120125000 240250000