Base | Representation |
---|---|
bin | 110110010000111… |
… | …0110111001000000 |
3 | 11200220011222111100 |
4 | 1230201312321000 |
5 | 12212112034122 |
6 | 500402214400 |
7 | 63056446200 |
oct | 15441667100 |
9 | 4626158440 |
10 | 1820814912 |
11 | 854891214 |
12 | 429954400 |
13 | 2302ca397 |
14 | 133b74400 |
15 | a9cbaaac |
hex | 6c876e40 |
1820814912 has 126 divisors (see below), whose sum is σ = 6071218998. Its totient is φ = 520224768.
The previous prime is 1820814899. The next prime is 1820814923. The reversal of 1820814912 is 2194180281.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 1329039936 + 491774976 = 36456^2 + 22176^2 .
It is a tau number, because it is divible by the number of its divisors (126).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4033 + ... + 60480.
Almost surely, 21820814912 is an apocalyptic number.
1820814912 is a gapful number since it is divisible by the number (12) 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 1820814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035609499).
1820814912 is an abundant number, since it is smaller than the sum of its proper divisors (4250404086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1820814912 is a wasteful number, since it uses less digits than its factorization.
1820814912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 64545 (or 64525 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 36.
The square root of 1820814912 is about 42671.0078624820. The cubic root of 1820814912 is about 1221.1113477971. Note that the first 3 decimals are identical.
The spelling of 1820814912 in words is "one billion, eight hundred twenty million, eight hundred fourteen thousand, nine hundred twelve".
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