Base | Representation |
---|---|
bin | 1000111101000… |
… | …00101011100000 |
3 | 12020022211111020 |
4 | 10132200223200 |
5 | 123211411130 |
6 | 11241445440 |
7 | 1601253651 |
oct | 436405340 |
9 | 166284436 |
10 | 75107040 |
11 | 3943a038 |
12 | 211a0880 |
13 | 12739248 |
14 | 9d91528 |
15 | 68d8e10 |
hex | 47a0ae0 |
75107040 has 96 divisors (see below), whose sum is σ = 243038880. Its totient is φ = 19482624.
The previous prime is 75107033. The next prime is 75107041. The reversal of 75107040 is 4070157.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×751070403 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 75107040.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (75107041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15646 + ... + 19874.
It is an arithmetic number, because the mean of its divisors is an integer number (2531655).
Almost surely, 275107040 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 75107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121519440).
75107040 is an abundant number, since it is smaller than the sum of its proper divisors (167931840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75107040 is a wasteful number, since it uses less digits than its factorization.
75107040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4284 (or 4276 counting only the distinct ones).
The product of its (nonzero) digits is 980, while the sum is 24.
The square root of 75107040 is about 8666.4317916891. The cubic root of 75107040 is about 421.9168617994.
Adding to 75107040 its reverse (4070157), we get a palindrome (79177197).
The spelling of 75107040 in words is "seventy-five million, one hundred seven thousand, forty".
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