| Base | Representation |
|---|---|
| bin | 111111011110101… |
| … | …0100000000000000 |
| 3 | 12111102222022100000 |
| 4 | 1332331110000000 |
| 5 | 13330240030140 |
| 6 | 551205200000 |
| 7 | 103532501064 |
| oct | 17675240000 |
| 9 | 5442868300 |
| 10 | 2130001920 |
| 11 | 9a336aa72 |
| 12 | 4b5400000 |
| 13 | 27c393987 |
| 14 | 162c59aa4 |
| 15 | c6ee1a30 |
| hex | 7ef54000 |
2130001920 has 360 divisors, whose sum is σ = 7728817824. Its totient is φ = 562692096.
The previous prime is 2130001877. The next prime is 2130001921. The reversal of 2130001920 is 291000312.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (360).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2130001893 and 2130001902.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2130001921) 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 23 ways as a sum of consecutive naturals, for example, 19906507 + ... + 19906613.
Almost surely, 22130001920 is an apocalyptic number.
2130001920 is a gapful number since it is divisible by the number (20) 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 2130001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864408912).
2130001920 is an abundant number, since it is smaller than the sum of its proper divisors (5598815904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130001920 is an frugal number, since it uses more digits than its factorization.
2130001920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
The square root of 2130001920 is about 46151.9438377193. The cubic root of 2130001920 is about 1286.6487378222.
The spelling of 2130001920 in words is "two billion, one hundred thirty million, one thousand, nine hundred twenty".
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