Base | Representation |
---|---|
bin | 11001011111111… |
… | …001111011001000 |
3 | 1002210222012012200 |
4 | 121133321323020 |
5 | 1334003402440 |
6 | 110241040200 |
7 | 13413122115 |
oct | 3137717310 |
9 | 1083865180 |
10 | 427794120 |
11 | 1aa52a066 |
12 | bb326060 |
13 | 6a823520 |
14 | 40b5b90c |
15 | 27853c30 |
hex | 197f9ec8 |
427794120 has 384 divisors, whose sum is σ = 1674691200. Its totient is φ = 93560832.
The previous prime is 427794113. The next prime is 427794161. The reversal of 427794120 is 21497724.
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 95 ways as a sum of consecutive naturals, for example, 1511499 + ... + 1511781.
It is an arithmetic number, because the mean of its divisors is an integer number (4361175).
Almost surely, 2427794120 is an apocalyptic number.
427794120 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 427794120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837345600).
427794120 is an abundant number, since it is smaller than the sum of its proper divisors (1246897080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427794120 is a wasteful number, since it uses less digits than its factorization.
427794120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 349 (or 342 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The square root of 427794120 is about 20683.1844743502. The cubic root of 427794120 is about 753.4913487590.
The spelling of 427794120 in words is "four hundred twenty-seven million, seven hundred ninety-four thousand, one hundred twenty".
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