| Base | Representation |
|---|---|
| bin | 11100101010101… |
| … | …00100111100000 |
| 3 | 121202111011111200 |
| 4 | 32111110213200 |
| 5 | 443030023441 |
| 6 | 35510041200 |
| 7 | 5646652110 |
| oct | 1625244740 |
| 9 | 552434450 |
| 10 | 240470496 |
| 11 | 113815052 |
| 12 | 68649200 |
| 13 | 3aa87046 |
| 14 | 23d19040 |
| 15 | 161a07b6 |
| hex | e5549e0 |
240470496 has 144 divisors (see below), whose sum is σ = 789935328. Its totient is φ = 67968000.
The previous prime is 240470467. The next prime is 240470501. The reversal of 240470496 is 694074042.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 240470496.
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 23 ways as a sum of consecutive naturals, for example, 203026 + ... + 204206.
It is an arithmetic number, because the mean of its divisors is an integer number (5485662).
Almost surely, 2240470496 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240470496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394967664).
240470496 is an abundant number, since it is smaller than the sum of its proper divisors (549464832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240470496 is a wasteful number, since it uses less digits than its factorization.
240470496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 240470496 is about 15507.1111429563. Note that the first 4 decimals coincide. The cubic root of 240470496 is about 621.8523306838.
It can be divided in two parts, 2404 and 70496, that added together give a square (72900 = 2702).
The spelling of 240470496 in words is "two hundred forty million, four hundred seventy thousand, four hundred ninety-six".
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