| Base | Representation |
|---|---|
| bin | 1110101001100… |
| … | …0000000000000 |
| 3 | 11021121110211120 |
| 4 | 3222120000000 |
| 5 | 111212040000 |
| 6 | 10032512240 |
| 7 | 1344142236 |
| oct | 352300000 |
| 9 | 137543746 |
| 10 | 61440000 |
| 11 | 31754866 |
| 12 | 186ab680 |
| 13 | c96253b |
| 14 | 8234956 |
| 15 | 55d96a0 |
| hex | 3a98000 |
61440000 has 160 divisors (see below), whose sum is σ = 204731340. Its totient is φ = 16384000.
The previous prime is 61439999. The next prime is 61440007. The reversal of 61440000 is 4416.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (61440007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12287998 + ... + 12288002.
Almost surely, 261440000 is an apocalyptic number.
61440000 is a gapful number since it is divisible by the number (60) 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 61440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102365670).
61440000 is an abundant number, since it is smaller than the sum of its proper divisors (143291340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61440000 is an frugal number, since it uses more digits than its factorization.
61440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 61440000 is about 7838.3671769062. The cubic root of 61440000 is about 394.5939318929.
61440000 divided by its sum of digits (15) gives a cube (4096000 = 1603).
Multiplying 61440000 by its product of nonzero digits (96), we get a square (5898240000 = 768002).
61440000 divided by its product of nonzero digits (96) gives a square (640000 = 8002).
Adding to 61440000 its reverse (4416), we get a palindrome (61444416).
The spelling of 61440000 in words is "sixty-one million, four hundred forty thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.001 sec. • engine limits •