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240736680 = 23325668713
BaseRepresentation
bin11100101100101…
…01100110101000
3121202222200122100
432112111212220
5443112033210
635515453400
75652141132
oct1626254650
9552880570
10240736680
11113987038
1268757260
133ab4b252
1423d88052
15162045c0
hexe5959a8

240736680 has 48 divisors (see below), whose sum is σ = 782395380. Its totient is φ = 64196352.

The previous prime is 240736673. The next prime is 240736681. The reversal of 240736680 is 86637042.

240736680 is digitally balanced in base 2, 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 2 ways, for example, as 229886244 + 10850436 = 15162^2 + 3294^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (240736681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333997 + ... + 334716.

Almost surely, 2240736680 is an apocalyptic number.

240736680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240736680 is an abundant number, since it is smaller than the sum of its proper divisors (541658700).

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

240736680 is a wasteful number, since it uses less digits than its factorization.

240736680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668730 (or 668723 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 240736680 is about 15515.6914122446. The cubic root of 240736680 is about 622.0816950693.

The spelling of 240736680 in words is "two hundred forty million, seven hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 668713 1337426 2006139 2674852 3343565 4012278 5349704 6018417 6687130 8024556 10030695 12036834 13374260 16049112 20061390 24073668 26748520 30092085 40122780 48147336 60184170 80245560 120368340 240736680