| Base | Representation |
|---|---|
| bin | 10000111011101110… |
| … | …10001001000000000 |
| 3 | 212110120020201022100 |
| 4 | 20131313101020000 |
| 5 | 122104241240140 |
| 6 | 4102030510400 |
| 7 | 441165621105 |
| oct | 103567211000 |
| 9 | 25416221270 |
| 10 | 9090961920 |
| 11 | 394567a277 |
| 12 | 1918665400 |
| 13 | b1b57b011 |
| 14 | 623532aac |
| 15 | 383198530 |
| hex | 21ddd1200 |
9090961920 has 360 divisors, whose sum is σ = 33259256316. Its totient is φ = 2294562816.
The previous prime is 9090961909. The next prime is 9090961921. The reversal of 9090961920 is 291690909.
It is a happy number.
9090961920 is a `hidden beast` number, since 9 + 0 + 9 + 0 + 9 + 619 + 20 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 8484620544 + 606341376 = 92112^2 + 24624^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (9090961921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8316894 + ... + 8317986.
Almost surely, 29090961920 is an apocalyptic number.
9090961920 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 9090961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16629628158).
9090961920 is an abundant number, since it is smaller than the sum of its proper divisors (24168294396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9090961920 is a wasteful number, since it uses less digits than its factorization.
9090961920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1160 (or 1122 counting only the distinct ones).
The product of its (nonzero) digits is 78732, while the sum is 45.
The square root of 9090961920 is about 95346.5359622467. The cubic root of 9090961920 is about 2087.0680651975.
The spelling of 9090961920 in words is "nine billion, ninety million, nine hundred sixty-one thousand, nine hundred twenty".
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