Base | Representation |
---|---|
bin | 1000101110100… |
… | …10101010110000 |
3 | 12002202200121100 |
4 | 10113102222300 |
5 | 122220332030 |
6 | 11133124400 |
7 | 1546212522 |
oct | 427225260 |
9 | 162680540 |
10 | 73214640 |
11 | 38367274 |
12 | 20629700 |
13 | 12225a95 |
14 | 9a1ba12 |
15 | 6663360 |
hex | 45d2ab0 |
73214640 has 120 divisors (see below), whose sum is σ = 250059888. Its totient is φ = 19192320.
The previous prime is 73214639. The next prime is 73214641. The reversal of 73214640 is 4641237.
73214640 is a `hidden beast` number, since 7 + 3 + 2 + 14 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (73214639) and next prime (73214641).
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (73214641) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43087 + ... + 44753.
Almost surely, 273214640 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 73214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125029944).
73214640 is an abundant number, since it is smaller than the sum of its proper divisors (176845248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73214640 is a wasteful number, since it uses less digits than its factorization.
73214640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1747 (or 1738 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 73214640 is about 8556.5553816942. Note that the first 3 decimals coincide. The cubic root of 73214640 is about 418.3431322428.
Adding to 73214640 its reverse (4641237), we get a palindrome (77855877).
The spelling of 73214640 in words is "seventy-three million, two hundred fourteen thousand, six hundred forty".
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