Base | Representation |
---|---|
bin | 1000110101011… |
… | …01010001010000 |
3 | 12011110011212000 |
4 | 10122231101100 |
5 | 122433010112 |
6 | 11204234000 |
7 | 1556632143 |
oct | 432552120 |
9 | 164404760 |
10 | 74110032 |
11 | 38918a67 |
12 | 2099b900 |
13 | 1247a4b9 |
14 | 9bb205a |
15 | 678d7dc |
hex | 46ad450 |
74110032 has 80 divisors (see below), whose sum is σ = 223944000. Its totient is φ = 23400576.
The previous prime is 74110031. The next prime is 74110061. The reversal of 74110032 is 23001147.
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 = 74109987 and 74110014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (74110031) 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, 3694 + ... + 12722.
It is an arithmetic number, because the mean of its divisors is an integer number (2799300).
Almost surely, 274110032 is an apocalyptic number.
74110032 is a gapful number since it is divisible by the number (72) 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 74110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111972000).
74110032 is an abundant number, since it is smaller than the sum of its proper divisors (149833968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74110032 is a wasteful number, since it uses less digits than its factorization.
74110032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9065 (or 9053 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 74110032 is about 8608.7183715115. The cubic root of 74110032 is about 420.0416285269.
Adding to 74110032 its reverse (23001147), we get a palindrome (97111179).
The spelling of 74110032 in words is "seventy-four million, one hundred ten thousand, thirty-two".
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