Base | Representation |
---|---|
bin | 100000101100… |
… | …0100100100000 |
3 | 1012020210122211 |
4 | 1001120210200 |
5 | 13341440000 |
6 | 1411211504 |
7 | 265454563 |
oct | 101304440 |
9 | 35223584 |
10 | 17140000 |
11 | 9747599 |
12 | 58a6b94 |
13 | 3721717 |
14 | 23c24da |
15 | 17887ba |
hex | 1058920 |
17140000 has 60 divisors (see below), whose sum is σ = 42216174. Its totient is φ = 6848000.
The previous prime is 17139989. The next prime is 17140021. The reversal of 17140000 is 4171.
It can be written as a sum of positive squares in 5 ways, for example, as 2178576 + 14961424 = 1476^2 + 3868^2 .
It is an unprimeable number.
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 9 ways as a sum of consecutive naturals, for example, 19572 + ... + 20428.
Almost surely, 217140000 is an apocalyptic number.
17140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 17140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108087).
17140000 is an abundant number, since it is smaller than the sum of its proper divisors (25076174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17140000 is an frugal number, since it uses more digits than its factorization.
17140000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 887 (or 864 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 13.
The square root of 17140000 is about 4140.0483088969. The cubic root of 17140000 is about 257.8320722821.
Adding to 17140000 its reverse (4171), we get a palindrome (17144171).
The spelling of 17140000 in words is "seventeen million, one hundred forty thousand".
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