| Base | Representation |
|---|---|
| bin | 1010110001000010… |
| … | …1111100110000000 |
| 3 | 21110102011210021110 |
| 4 | 2230100233212000 |
| 5 | 21404324223100 |
| 6 | 1154440123320 |
| 7 | 131422123140 |
| oct | 25420574600 |
| 9 | 7412153243 |
| 10 | 2890070400 |
| 11 | 1253407738 |
| 12 | 687a66540 |
| 13 | 3709a5239 |
| 14 | 1d5b8c920 |
| 15 | 11dacc250 |
| hex | ac42f980 |
2890070400 has 384 divisors, whose sum is σ = 11261779200. Its totient is φ = 637378560.
The previous prime is 2890070399. The next prime is 2890070401. The reversal of 2890070400 is 40700982.
It is an interprime number because it is at equal distance from previous prime (2890070399) and next prime (2890070401).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2890070401) 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 47 ways as a sum of consecutive naturals, for example, 1948059 + ... + 1949541.
It is an arithmetic number, because the mean of its divisors is an integer number (29327550).
Almost surely, 22890070400 is an apocalyptic number.
2890070400 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 2890070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630889600).
2890070400 is an abundant number, since it is smaller than the sum of its proper divisors (8371708800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2890070400 is a wasteful number, since it uses less digits than its factorization.
2890070400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 30.
The square root of 2890070400 is about 53759.3749963669. The cubic root of 2890070400 is about 1424.4136953987.
The spelling of 2890070400 in words is "two billion, eight hundred ninety million, seventy thousand, four hundred".
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