Base | Representation |
---|---|
bin | 1110010101001… |
… | …0000101010000 |
3 | 11012002122121121 |
4 | 3211102011100 |
5 | 110341330130 |
6 | 5544132024 |
7 | 1326612232 |
oct | 345220520 |
9 | 135078547 |
10 | 60105040 |
11 | 30a22896 |
12 | 18167014 |
13 | c5b5a18 |
14 | 7da8252 |
15 | 5423d7a |
hex | 3952150 |
60105040 has 40 divisors (see below), whose sum is σ = 140069160. Its totient is φ = 23986176.
The previous prime is 60105029. The next prime is 60105041. The reversal of 60105040 is 4050106.
It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 44675856 = 3928^2 + 6684^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×601050402 = 7225231666803200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (60105041) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61032 + ... + 62008.
It is an arithmetic number, because the mean of its divisors is an integer number (3501729).
Almost surely, 260105040 is an apocalyptic number.
It is an amenable number.
60105040 is an abundant number, since it is smaller than the sum of its proper divisors (79964120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60105040 is a wasteful number, since it uses less digits than its factorization.
60105040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 16.
The square root of 60105040 is about 7752.7440303418. The cubic root of 60105040 is about 391.7150852068.
Adding to 60105040 its reverse (4050106), we get a palindrome (64155146).
The spelling of 60105040 in words is "sixty million, one hundred five thousand, forty".
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