Base | Representation |
---|---|
bin | 1010000110001… |
… | …1101000010000 |
3 | 2221200122211000 |
4 | 2201203220100 |
5 | 41320213440 |
6 | 4111422000 |
7 | 1022656440 |
oct | 241435020 |
9 | 87618730 |
10 | 42351120 |
11 | 219a7029 |
12 | 12224900 |
13 | 8a0aa46 |
14 | 58a6120 |
15 | 3ab8730 |
hex | 2863a10 |
42351120 has 160 divisors (see below), whose sum is σ = 166775040. Its totient is φ = 9676800.
The previous prime is 42351109. The next prime is 42351139. The reversal of 42351120 is 2115324.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 42351093 and 42351102.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13720 + ... + 16520.
It is an arithmetic number, because the mean of its divisors is an integer number (1042344).
Almost surely, 242351120 is an apocalyptic number.
42351120 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 42351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83387520).
42351120 is an abundant number, since it is smaller than the sum of its proper divisors (124423920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42351120 is a wasteful number, since it uses less digits than its factorization.
42351120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2830 (or 2818 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 42351120 is about 6507.7738129102. The cubic root of 42351120 is about 348.5686304020.
Adding to 42351120 its reverse (2115324), we get a palindrome (44466444).
The spelling of 42351120 in words is "forty-two million, three hundred fifty-one thousand, one hundred twenty".
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