Base | Representation |
---|---|
bin | 111011000011110… |
… | …110010011000000 |
3 | 2120001111010200000 |
4 | 323003312103000 |
5 | 4012130131301 |
6 | 242153400000 |
7 | 33361132002 |
oct | 7303662300 |
9 | 2501433600 |
10 | 990864576 |
11 | 469354249 |
12 | 237a09000 |
13 | 12a38c000 |
14 | 95850372 |
15 | 5bec9786 |
hex | 3b0f64c0 |
990864576 has 336 divisors, whose sum is σ = 3300679200. Its totient is φ = 294368256.
The previous prime is 990864571. The next prime is 990864577. The reversal of 990864576 is 675468099.
990864576 is a `hidden beast` number, since 9 + 9 + 0 + 8 + 64 + 576 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (990864571) 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, 34167730 + ... + 34167758.
It is an arithmetic number, because the mean of its divisors is an integer number (9823450).
Almost surely, 2990864576 is an apocalyptic number.
990864576 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 990864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650339600).
990864576 is an abundant number, since it is smaller than the sum of its proper divisors (2309814624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
990864576 is an equidigital number, since it uses as much as digits as its factorization.
990864576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The square root of 990864576 is about 31478.0014613380. The cubic root of 990864576 is about 996.9455384303.
The spelling of 990864576 in words is "nine hundred ninety million, eight hundred sixty-four thousand, five hundred seventy-six".
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