Base | Representation |
---|---|
bin | 1000110100110… |
… | …10011110010000 |
3 | 12011022021020110 |
4 | 10122122132100 |
5 | 122423024130 |
6 | 11202441320 |
7 | 1556161524 |
oct | 432323620 |
9 | 164267213 |
10 | 74033040 |
11 | 38876134 |
12 | 20963240 |
13 | 12451443 |
14 | 9b91d84 |
15 | 6775ab0 |
hex | 469a790 |
74033040 has 80 divisors (see below), whose sum is σ = 230395968. Its totient is φ = 19665408.
The previous prime is 74033039. The next prime is 74033059. The reversal of 74033040 is 4033047.
It is a tau number, because it is divible by the number of its divisors (80).
It is a junction number, because it is equal to n+sod(n) for n = 74032998 and 74033016.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89107 + ... + 89933.
Almost surely, 274033040 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 74033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115197984).
74033040 is an abundant number, since it is smaller than the sum of its proper divisors (156362928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74033040 is a wasteful number, since it uses less digits than its factorization.
74033040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 21.
The square root of 74033040 is about 8604.2454637231. The cubic root of 74033040 is about 419.8961194336.
Adding to 74033040 its reverse (4033047), we get a palindrome (78066087).
The spelling of 74033040 in words is "seventy-four million, thirty-three thousand, forty".
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