Base | Representation |
---|---|
bin | 1001110001001100100 |
3 | 121021002120 |
4 | 1032021210 |
5 | 40220400 |
6 | 10505540 |
7 | 2502144 |
oct | 1161144 |
9 | 537076 |
10 | 320100 |
11 | 1a9550 |
12 | 1352b0 |
13 | b2911 |
14 | 84924 |
15 | 64ca0 |
hex | 4e264 |
320100 has 72 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 76800.
The previous prime is 320083. The next prime is 320101. The reversal of 320100 is 1023.
320100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (320101) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3252 + ... + 3348.
2320100 is an apocalyptic number.
320100 is a gapful number since it is divisible by the number (30) 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 320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384).
320100 is an abundant number, since it is smaller than the sum of its proper divisors (700668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
320100 is a wasteful number, since it uses less digits than its factorization.
320100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 125 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 320100 is about 565.7738063926. The cubic root of 320100 is about 68.4061620248.
Adding to 320100 its reverse (1023), we get a palindrome (321123).
The spelling of 320100 in words is "three hundred twenty thousand, one hundred", and thus it is an iban number.
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