Base | Representation |
---|---|
bin | 11001011110111… |
… | …011111011101000 |
3 | 1002210111021220020 |
4 | 121132323323220 |
5 | 1333422241300 |
6 | 110231400440 |
7 | 13411013613 |
oct | 3136737350 |
9 | 1083437806 |
10 | 427540200 |
11 | 1aa37630a |
12 | bb223120 |
13 | 6a764a89 |
14 | 40ad317a |
15 | 278038a0 |
hex | 197bbee8 |
427540200 has 96 divisors (see below), whose sum is σ = 1353663360. Its totient is φ = 111577600.
The previous prime is 427540177. The next prime is 427540213. The reversal of 427540200 is 2045724.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20620 + ... + 35780.
It is an arithmetic number, because the mean of its divisors is an integer number (14100660).
Almost surely, 2427540200 is an apocalyptic number.
427540200 is a gapful number since it is divisible by the number (40) 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 427540200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676831680).
427540200 is an abundant number, since it is smaller than the sum of its proper divisors (926123160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427540200 is a wasteful number, since it uses less digits than its factorization.
427540200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15227 (or 15218 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 24.
The square root of 427540200 is about 20677.0452434578. The cubic root of 427540200 is about 753.3422393462.
Adding to 427540200 its reverse (2045724), we get a palindrome (429585924).
The spelling of 427540200 in words is "four hundred twenty-seven million, five hundred forty thousand, two hundred".
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