Base | Representation |
---|---|
bin | 1010000010100… |
… | …0110011010000 |
3 | 2221020102021120 |
4 | 2200220303100 |
5 | 41240011120 |
6 | 4102322240 |
7 | 1020634101 |
oct | 240506320 |
9 | 87212246 |
10 | 42110160 |
11 | 21851a94 |
12 | 12129380 |
13 | 8955171 |
14 | 58423a8 |
15 | 3a6c140 |
hex | 2828cd0 |
42110160 has 80 divisors (see below), whose sum is σ = 132253440. Its totient is φ = 11082240.
The previous prime is 42110153. The next prime is 42110161. The reversal of 42110160 is 6101124.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42110161) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17850 + ... + 20070.
It is an arithmetic number, because the mean of its divisors is an integer number (1653168).
Almost surely, 242110160 is an apocalyptic number.
42110160 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 42110160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66126720).
42110160 is an abundant number, since it is smaller than the sum of its proper divisors (90143280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42110160 is a wasteful number, since it uses less digits than its factorization.
42110160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 42110160 is about 6489.2341612859. The cubic root of 42110160 is about 347.9063032200.
Adding to 42110160 its reverse (6101124), we get a palindrome (48211284).
The spelling of 42110160 in words is "forty-two million, one hundred ten thousand, one hundred sixty".
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