| Base | Representation |
|---|---|
| bin | 101000100000000… |
| … | …1101001110000000 |
| 3 | 10111201012210101100 |
| 4 | 1101000031032000 |
| 5 | 10240401234030 |
| 6 | 342504134400 |
| 7 | 45451245213 |
| oct | 12100151600 |
| 9 | 3451183340 |
| 10 | 1359008640 |
| 11 | 638141340 |
| 12 | 31b167400 |
| 13 | 188728932 |
| 14 | cc6c177a |
| 15 | 7e499360 |
| hex | 5100d380 |
1359008640 has 384 divisors, whose sum is σ = 5198450400. Its totient is φ = 324403200.
The previous prime is 1359008603. The next prime is 1359008647. The reversal of 1359008640 is 468009531.
1359008640 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 0 + 0 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 1359008595 and 1359008604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1359008647) 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, 5638920 + ... + 5639160.
Almost surely, 21359008640 is an apocalyptic number.
1359008640 is a gapful number since it is divisible by the number (10) 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 1359008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599225200).
1359008640 is an abundant number, since it is smaller than the sum of its proper divisors (3839441760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1359008640 is a wasteful number, since it uses less digits than its factorization.
1359008640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 351 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 1359008640 is about 36864.7343676853. The cubic root of 1359008640 is about 1107.6623802456.
The spelling of 1359008640 in words is "one billion, three hundred fifty-nine million, eight thousand, six hundred forty".
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