Base | Representation |
---|---|
bin | 1000001000111… |
… | …10000010100000 |
3 | 11202111000012200 |
4 | 10010132002200 |
5 | 114434433410 |
6 | 10435253200 |
7 | 1456242312 |
oct | 404360240 |
9 | 152430180 |
10 | 68280480 |
11 | 355a7154 |
12 | 1aa4a200 |
13 | 111b8c68 |
14 | 90d57b2 |
15 | 5edb3c0 |
hex | 411e0a0 |
68280480 has 72 divisors (see below), whose sum is σ = 233012052. Its totient is φ = 18207744.
The previous prime is 68280479. The next prime is 68280481. The reversal of 68280480 is 8408286.
It is an interprime number because it is at equal distance from previous prime (68280479) and next prime (68280481).
It can be written as a sum of positive squares in 2 ways, for example, as 62916624 + 5363856 = 7932^2 + 2316^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (68280481) 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, 22269 + ... + 25148.
Almost surely, 268280480 is an apocalyptic number.
68280480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.
It is an amenable number.
68280480 is an abundant number, since it is smaller than the sum of its proper divisors (164731572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68280480 is a wasteful number, since it uses less digits than its factorization.
68280480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 47438 (or 47427 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 68280480 is about 8263.2003485332. The cubic root of 68280480 is about 408.7259279374.
The spelling of 68280480 in words is "sixty-eight million, two hundred eighty thousand, four hundred eighty".
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