Base | Representation |
---|---|
bin | 1100011001010… |
… | …11010011100000 |
3 | 21020200001112011 |
4 | 12030223103200 |
5 | 203110031100 |
6 | 14152442304 |
7 | 2401604230 |
oct | 614532340 |
9 | 236601464 |
10 | 103986400 |
11 | 53774581 |
12 | 2a9a9394 |
13 | 1870b11b |
14 | db4bcc0 |
15 | 91e0bba |
hex | 632b4e0 |
103986400 has 144 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 34444800.
The previous prime is 103986397. The next prime is 103986401. The reversal of 103986400 is 4689301.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103986401) 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, 173301 + ... + 173899.
It is an arithmetic number, because the mean of its divisors is an integer number (2083200).
Almost surely, 2103986400 is an apocalyptic number.
103986400 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 103986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).
103986400 is an abundant number, since it is smaller than the sum of its proper divisors (195994400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103986400 is a wasteful number, since it uses less digits than its factorization.
103986400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 657 (or 644 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 31.
The square root of 103986400 is about 10197.3722105256. The cubic root of 103986400 is about 470.2464378353.
The spelling of 103986400 in words is "one hundred three million, nine hundred eighty-six thousand, four hundred".
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