| Base | Representation |
|---|---|
| bin | 11100101100100… |
| … | …10111010100000 |
| 3 | 121202222010112100 |
| 4 | 32112102322200 |
| 5 | 443111210124 |
| 6 | 35515330400 |
| 7 | 5652064044 |
| oct | 1626227240 |
| 9 | 552863470 |
| 10 | 240725664 |
| 11 | 113979833 |
| 12 | 68750a00 |
| 13 | 3ab4622a |
| 14 | 23d84024 |
| 15 | 162011c9 |
| hex | e592ea0 |
240725664 has 144 divisors (see below), whose sum is σ = 720195840. Its totient is φ = 76170240.
The previous prime is 240725651. The next prime is 240725669. The reversal of 240725664 is 466527042.
240725664 is a `hidden beast` number, since 24 + 0 + 72 + 566 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 (240725669) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 526524 + ... + 526980.
It is an arithmetic number, because the mean of its divisors is an integer number (5001360).
Almost surely, 2240725664 is an apocalyptic number.
240725664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360097920).
240725664 is an abundant number, since it is smaller than the sum of its proper divisors (479470176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240725664 is a wasteful number, since it uses less digits than its factorization.
240725664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 563 (or 552 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The square root of 240725664 is about 15515.3364127240. The cubic root of 240725664 is about 622.0722062003.
It can be divided in two parts, 240 and 725664, that added together give a square (725904 = 8522).
The spelling of 240725664 in words is "two hundred forty million, seven hundred twenty-five thousand, six hundred sixty-four".
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