| Base | Representation |
|---|---|
| bin | 111011111111100… |
| … | …110000010100100 |
| 3 | 2121010221211222000 |
| 4 | 323333212002210 |
| 5 | 4030132323003 |
| 6 | 243513205300 |
| 7 | 33641222652 |
| oct | 7377460244 |
| 9 | 2533854860 |
| 10 | 1006526628 |
| 11 | 477181398 |
| 12 | 241100830 |
| 13 | 1306b3ab3 |
| 14 | 97969dd2 |
| 15 | 5d5701a3 |
| hex | 3bfe60a4 |
1006526628 has 96 divisors (see below), whose sum is σ = 2707689600. Its totient is φ = 323108352.
The previous prime is 1006526617. The next prime is 1006526639. The reversal of 1006526628 is 8266256001.
1006526628 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 26 + 628 = 666.
It is an interprime number because it is at equal distance from previous prime (1006526617) and next prime (1006526639).
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 = 1006526592 and 1006526601.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337528 + ... + 340496.
It is an arithmetic number, because the mean of its divisors is an integer number (28205100).
Almost surely, 21006526628 is an apocalyptic number.
1006526628 is a gapful number since it is divisible by the number (18) 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 1006526628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353844800).
1006526628 is an abundant number, since it is smaller than the sum of its proper divisors (1701162972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006526628 is a wasteful number, since it uses less digits than its factorization.
1006526628 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3098 (or 3090 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 1006526628 is about 31725.8038196040. The cubic root of 1006526628 is about 1002.1708267678.
The spelling of 1006526628 in words is "one billion, six million, five hundred twenty-six thousand, six hundred twenty-eight".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •