Base | Representation |
---|---|
bin | 111010010111000… |
… | …111111000000000 |
3 | 2112020102110201000 |
4 | 322113013320000 |
5 | 4001124440341 |
6 | 241054212000 |
7 | 33156360564 |
oct | 7227077000 |
9 | 2466373630 |
10 | 979140096 |
11 | 4627764a0 |
12 | 233ab4000 |
13 | 127b1554c |
14 | 9407b6a4 |
15 | 5ae608b6 |
hex | 3a5c7e00 |
979140096 has 320 divisors, whose sum is σ = 3252648960. Its totient is φ = 288276480.
The previous prime is 979140089. The next prime is 979140101. The reversal of 979140096 is 690041979.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7146940 + ... + 7147076.
It is an arithmetic number, because the mean of its divisors is an integer number (10164528).
Almost surely, 2979140096 is an apocalyptic number.
979140096 is a gapful number since it is divisible by the number (96) 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 979140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626324480).
979140096 is an abundant number, since it is smaller than the sum of its proper divisors (2273508864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
979140096 is a wasteful number, since it uses less digits than its factorization.
979140096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222 (or 200 counting only the distinct ones).
The product of its (nonzero) digits is 122472, while the sum is 45.
The square root of 979140096 is about 31291.2143580271. The cubic root of 979140096 is about 992.9977820525.
The spelling of 979140096 in words is "nine hundred seventy-nine million, one hundred forty thousand, ninety-six".
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