| Base | Representation |
|---|---|
| bin | 111111111100110… |
| … | …100001011100000 |
| 3 | 2202202212022200102 |
| 4 | 333330310023200 |
| 5 | 4144131010401 |
| 6 | 254244041532 |
| 7 | 35405362451 |
| oct | 7774641340 |
| 9 | 2682768612 |
| 10 | 1072906976 |
| 11 | 50069a989 |
| 12 | 25b3932a8 |
| 13 | 141385bcb |
| 14 | a26c9128 |
| 15 | 642d356b |
| hex | 3ff342e0 |
1072906976 has 96 divisors (see below), whose sum is σ = 2233889280. Its totient is φ = 506791936.
The previous prime is 1072906973. The next prime is 1072906981. The reversal of 1072906976 is 6796092701.
It is a super-2 number, since 2×10729069762 = 2302258758298929152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (47).
It is a self number, because there is not a number n which added to its sum of digits gives 1072906976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1072906973) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 9494696 + ... + 9494808.
It is an arithmetic number, because the mean of its divisors is an integer number (23269680).
Almost surely, 21072906976 is an apocalyptic number.
1072906976 is a gapful number since it is divisible by the number (16) 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 1072906976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116944640).
1072906976 is an abundant number, since it is smaller than the sum of its proper divisors (1160982304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1072906976 is a wasteful number, since it uses less digits than its factorization.
1072906976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 336 (or 328 counting only the distinct ones).
The product of its (nonzero) digits is 285768, while the sum is 47.
The square root of 1072906976 is about 32755.2587533666. The cubic root of 1072906976 is about 1023.7345401567.
The spelling of 1072906976 in words is "one billion, seventy-two million, nine hundred six thousand, nine hundred seventy-six".
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