Base | Representation |
---|---|
bin | 11001100100111… |
… | …111100000111100 |
3 | 1002220110221121000 |
4 | 121210333200330 |
5 | 1334324041430 |
6 | 110325410300 |
7 | 13430345166 |
oct | 3144774074 |
9 | 1086427530 |
10 | 429127740 |
11 | 200260028 |
12 | bb869990 |
13 | 6ab9c552 |
14 | 40dc7936 |
15 | 27a18e60 |
hex | 1993f83c |
429127740 has 96 divisors (see below), whose sum is σ = 1350216000. Its totient is φ = 113135616.
The previous prime is 429127729. The next prime is 429127747. The reversal of 429127740 is 47721924.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 429127695 and 429127704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (429127747) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43596 + ... + 52524.
It is an arithmetic number, because the mean of its divisors is an integer number (14064750).
Almost surely, 2429127740 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 429127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675108000).
429127740 is an abundant number, since it is smaller than the sum of its proper divisors (921088260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
429127740 is a wasteful number, since it uses less digits than its factorization.
429127740 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9036 (or 9028 counting only the distinct ones).
The product of its (nonzero) digits is 28224, while the sum is 36.
The square root of 429127740 is about 20715.3986203500. The cubic root of 429127740 is about 754.2735230837.
The spelling of 429127740 in words is "four hundred twenty-nine million, one hundred twenty-seven thousand, seven hundred forty".
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