Base | Representation |
---|---|
bin | 1000110001111… |
… | …11011010000000 |
3 | 12010121022120100 |
4 | 10120333122000 |
5 | 122324110112 |
6 | 11150442400 |
7 | 1553046165 |
oct | 430773200 |
9 | 163538510 |
10 | 73660032 |
11 | 38640966 |
12 | 20803400 |
13 | 12350724 |
14 | 9ad606c |
15 | 67002dc |
hex | 463f680 |
73660032 has 96 divisors (see below), whose sum is σ = 217039680. Its totient is φ = 23966208.
The previous prime is 73660021. The next prime is 73660033. The reversal of 73660032 is 23006637.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 73659978 and 73660005.
It is not an unprimeable number, because it can be changed into a prime (73660033) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48793 + ... + 50279.
It is an arithmetic number, because the mean of its divisors is an integer number (2260830).
Almost surely, 273660032 is an apocalyptic number.
73660032 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 73660032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108519840).
73660032 is an abundant number, since it is smaller than the sum of its proper divisors (143379648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73660032 is a wasteful number, since it uses less digits than its factorization.
73660032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1550 (or 1535 counting only the distinct ones).
The product of its (nonzero) digits is 4536, while the sum is 27.
The square root of 73660032 is about 8582.5422806998. The cubic root of 73660032 is about 419.1897303391.
Adding to 73660032 its reverse (23006637), we get a palindrome (96666669).
The spelling of 73660032 in words is "seventy-three million, six hundred sixty thousand, thirty-two".
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