| Base | Representation |
|---|---|
| bin | 1101100101001… |
| … | …0011010000000 |
| 3 | 10222011220022100 |
| 4 | 3121102122000 |
| 5 | 104040220030 |
| 6 | 5352510400 |
| 7 | 1261105002 |
| oct | 331223200 |
| 9 | 128156270 |
| 10 | 56960640 |
| 11 | 2a175410 |
| 12 | 170ab400 |
| 13 | ba54729 |
| 14 | 77ca372 |
| 15 | 5002360 |
| hex | 3652680 |
56960640 has 384 divisors, whose sum is σ = 229132800. Its totient is φ = 12902400.
The previous prime is 56960633. The next prime is 56960647. The reversal of 56960640 is 4606965.
It is a happy number.
56960640 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 0 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (56960633) and next prime (56960647).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 56960595 and 56960604.
It is not an unprimeable number, because it can be changed into a prime (56960647) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837425 + ... + 1837455.
It is an arithmetic number, because the mean of its divisors is an integer number (596700).
Almost surely, 256960640 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 56960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).
56960640 is an abundant number, since it is smaller than the sum of its proper divisors (172172160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56960640 is a wasteful number, since it uses less digits than its factorization.
56960640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 56960640 is about 7547.2273054414. The cubic root of 56960640 is about 384.7615096866.
It can be divided in two parts, 56960 and 640, that added together give a square (57600 = 2402).
The spelling of 56960640 in words is "fifty-six million, nine hundred sixty thousand, six hundred forty".
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