Base | Representation |
---|---|
bin | 1110011000101… |
… | …1101011100000 |
3 | 11012112122020101 |
4 | 3212023223200 |
5 | 110421402320 |
6 | 5553152144 |
7 | 1331614111 |
oct | 346135340 |
9 | 135478211 |
10 | 60340960 |
11 | 31074069 |
12 | 1825b654 |
13 | c669214 |
14 | 802a208 |
15 | 546dc0a |
hex | 398bae0 |
60340960 has 96 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 21846528.
The previous prime is 60340957. The next prime is 60340963. The reversal of 60340960 is 6904306.
60340960 = T6341 + T6342 + T6343.
60340960 is nontrivially palindromic in base 14.
60340960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (60340957) and next prime (60340963).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (60340963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69489 + ... + 70351.
It is an arithmetic number, because the mean of its divisors is an integer number (1632960).
Almost surely, 260340960 is an apocalyptic number.
60340960 is the 6343-rd centered triangular number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 60340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).
60340960 is an abundant number, since it is smaller than the sum of its proper divisors (96423200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60340960 is a wasteful number, since it uses less digits than its factorization.
60340960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 920 (or 912 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 28.
The square root of 60340960 is about 7767.9443870306. The cubic root of 60340960 is about 392.2269267781.
The spelling of 60340960 in words is "sixty million, three hundred forty thousand, nine hundred sixty".
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