| Base | Representation |
|---|---|
| bin | 111010010111101… |
| … | …110011010000000 |
| 3 | 2112020201111012100 |
| 4 | 322113232122000 |
| 5 | 4001200013140 |
| 6 | 241101430400 |
| 7 | 33160615656 |
| oct | 7227563200 |
| 9 | 2466644170 |
| 10 | 979297920 |
| 11 | 462874027 |
| 12 | 233b6b400 |
| 13 | 127b6c333 |
| 14 | 940bcdd6 |
| 15 | 5ae92530 |
| hex | 3a5ee680 |
979297920 has 384 divisors, whose sum is σ = 3656100240. Its totient is φ = 240648192.
The previous prime is 979297873. The next prime is 979297927. The reversal of 979297920 is 29792979.
979297920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 638673984 + 340623936 = 25272^2 + 18456^2 .
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×9792979202 = 1918048832232652800, which contains 22 as substring.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (979297927) 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, 7148092 + ... + 7148228.
Almost surely, 2979297920 is an apocalyptic number.
979297920 is a gapful number since it is divisible by the number (90) 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 979297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828050120).
979297920 is an abundant number, since it is smaller than the sum of its proper divisors (2676802320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
979297920 is a wasteful number, since it uses less digits than its factorization.
979297920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 252 (or 237 counting only the distinct ones).
The product of its (nonzero) digits is 1285956, while the sum is 54.
The square root of 979297920 is about 31293.7361144367. The cubic root of 979297920 is about 993.0511317427.
The spelling of 979297920 in words is "nine hundred seventy-nine million, two hundred ninety-seven thousand, nine hundred twenty".
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