| Base | Representation |
|---|---|
| bin | 111011110100110… |
| … | …001001011000000 |
| 3 | 2120221121122222100 |
| 4 | 323310301023000 |
| 5 | 4023421014030 |
| 6 | 243332310400 |
| 7 | 33605132643 |
| oct | 7364611300 |
| 9 | 2527548870 |
| 10 | 1003688640 |
| 11 | 475613149 |
| 12 | 240172400 |
| 13 | 12cc2c106 |
| 14 | 9742ba5a |
| 15 | 5d1ae360 |
| hex | 3bd312c0 |
1003688640 has 168 divisors, whose sum is σ = 3545951760. Its totient is φ = 260388864.
The previous prime is 1003688639. The next prime is 1003688641. The reversal of 1003688640 is 468863001.
It is a happy number.
1003688640 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 6 + 8 + 8 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1003688639) and next prime (1003688641).
It is a super-3 number, since 3×10036886403 (a number of 28 digits) contains 333 as substring.
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 = 1003688595 and 1003688604.
It is not an unprimeable number, because it can be changed into a prime (1003688641) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101851 + ... + 111269.
Almost surely, 21003688640 is an apocalyptic number.
1003688640 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 1003688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772975880).
1003688640 is an abundant number, since it is smaller than the sum of its proper divisors (2542263120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003688640 is a wasteful number, since it uses less digits than its factorization.
1003688640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9479 (or 9466 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 1003688640 is about 31681.0454372958. The cubic root of 1003688640 is about 1001.2280379721.
The spelling of 1003688640 in words is "one billion, three million, six hundred eighty-eight thousand, six hundred forty".
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