Base | Representation |
---|---|
bin | 1000000011100… |
… | …01100100000000 |
3 | 11201011010010100 |
4 | 10001301210000 |
5 | 114244332031 |
6 | 10412202400 |
7 | 1450240536 |
oct | 401614400 |
9 | 151133110 |
10 | 67574016 |
11 | 351643a4 |
12 | 1a769400 |
13 | 10ccc533 |
14 | 8d90156 |
15 | 5debde6 |
hex | 4071900 |
67574016 has 108 divisors (see below), whose sum is σ = 197164240. Its totient is φ = 22256640.
The previous prime is 67574011. The next prime is 67574021. The reversal of 67574016 is 61047576.
It is an interprime number because it is at equal distance from previous prime (67574011) and next prime (67574021).
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 (67574011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320151 + ... + 320361.
Almost surely, 267574016 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 67574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98582120).
67574016 is an abundant number, since it is smaller than the sum of its proper divisors (129590224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67574016 is a wasteful number, since it uses less digits than its factorization.
67574016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 372 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The square root of 67574016 is about 8220.3415987415. The cubic root of 67574016 is about 407.3114105959.
It can be divided in two parts, 675 and 74016, that added together give a triangular number (74691 = T386).
The spelling of 67574016 in words is "sixty-seven million, five hundred seventy-four thousand, sixteen".
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