Base | Representation |
---|---|
bin | 111001001110101… |
… | …011100010110000 |
3 | 2110220200122202021 |
4 | 321032223202300 |
5 | 3431244242210 |
6 | 235135201224 |
7 | 32536065130 |
oct | 7116534260 |
9 | 2426618667 |
10 | 960149680 |
11 | 452a85736 |
12 | 229676214 |
13 | 123bc6809 |
14 | 91736ac0 |
15 | 5945dbda |
hex | 393ab8b0 |
960149680 has 80 divisors (see below), whose sum is σ = 2555265024. Its totient is φ = 328677120.
The previous prime is 960149653. The next prime is 960149683. The reversal of 960149680 is 86941069.
960149680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (960149683) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576529 + ... + 578191.
Almost surely, 2960149680 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 960149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277632512).
960149680 is an abundant number, since it is smaller than the sum of its proper divisors (1595115344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
960149680 is a wasteful number, since it uses less digits than its factorization.
960149680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 43.
The square root of 960149680 is about 30986.2821261280. The cubic root of 960149680 is about 986.5360968766.
The spelling of 960149680 in words is "nine hundred sixty million, one hundred forty-nine thousand, six hundred eighty".
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