Base | Representation |
---|---|
bin | 1010110111001110… |
… | …1010010010000100 |
3 | 21112012222012020100 |
4 | 2231303222102010 |
5 | 21432444012100 |
6 | 1201204004100 |
7 | 132155412231 |
oct | 25563522204 |
9 | 7465865210 |
10 | 2916000900 |
11 | 12670086aa |
12 | 694690630 |
13 | 376183b27 |
14 | 1d93bc788 |
15 | 121000400 |
hex | adcea484 |
2916000900 has 108 divisors (see below), whose sum is σ = 9150206884. Its totient is φ = 776736000.
The previous prime is 2916000877. The next prime is 2916000911. The reversal of 2916000900 is 90006192.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 1772073216 + 1143927684 = 42096^2 + 33822^2 .
It is a super-2 number, since 2×29160009002 = 17006122497601620000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1565970 + ... + 1567830.
It is the magic constant of a 1800 × 1800 magic square.
Almost surely, 22916000900 is an apocalyptic number.
2916000900 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 2916000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575103442).
2916000900 is an abundant number, since it is smaller than the sum of its proper divisors (6234205984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2916000900 is a wasteful number, since it uses less digits than its factorization.
2916000900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3622 (or 3612 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The square root of 2916000900 is about 54000.0083333327. The cubic root of 2916000900 is about 1428.6610937529.
The spelling of 2916000900 in words is "two billion, nine hundred sixteen million, nine hundred", and thus it is an aban number.
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