Base | Representation |
---|---|
bin | 100100000000… |
… | …1011000000000 |
3 | 1022112012111021 |
4 | 1020001120000 |
5 | 14313130000 |
6 | 1512355224 |
7 | 316322506 |
oct | 110013000 |
9 | 38465437 |
10 | 18880000 |
11 | a725907 |
12 | 63a5b14 |
13 | 3bb06c9 |
14 | 2716676 |
15 | 19ce11a |
hex | 1201600 |
18880000 has 100 divisors (see below), whose sum is σ = 47937780. Its totient is φ = 7424000.
The previous prime is 18879919. The next prime is 18880007. The reversal of 18880000 is 8881.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18880007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319971 + ... + 320029.
Almost surely, 218880000 is an apocalyptic number.
18880000 is a gapful number since it is divisible by the number (10) 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 18880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968890).
18880000 is an abundant number, since it is smaller than the sum of its proper divisors (29057780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18880000 is an frugal number, since it uses more digits than its factorization.
18880000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 25.
The square root of 18880000 is about 4345.1121964801. The cubic root of 18880000 is about 266.2772092657.
Adding to 18880000 its reverse (8881), we get a palindrome (18888881).
The spelling of 18880000 in words is "eighteen million, eight hundred eighty thousand".
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