Base | Representation |
---|---|
bin | 100000100011… |
… | …1100001000000 |
3 | 1012010020211120 |
4 | 1001013201000 |
5 | 13332221034 |
6 | 1405512240 |
7 | 265044120 |
oct | 101074100 |
9 | 35106746 |
10 | 17070144 |
11 | 96aa063 |
12 | 5872680 |
13 | 36c89a0 |
14 | 23a4c80 |
15 | 1772c49 |
hex | 1047840 |
17070144 has 112 divisors (see below), whose sum is σ = 55644288. Its totient is φ = 4497408.
The previous prime is 17070143. The next prime is 17070149. The reversal of 17070144 is 44107071.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (17070143) 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 15 ways as a sum of consecutive naturals, for example, 16984 + ... + 17960.
It is an arithmetic number, because the mean of its divisors is an integer number (496824).
Almost surely, 217070144 is an apocalyptic number.
17070144 is a gapful number since it is divisible by the number (14) 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 17070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822144).
17070144 is an abundant number, since it is smaller than the sum of its proper divisors (38574144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17070144 is a wasteful number, since it uses less digits than its factorization.
17070144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 24.
The square root of 17070144 is about 4131.6030787093. The cubic root of 17070144 is about 257.4813207929.
The spelling of 17070144 in words is "seventeen million, seventy thousand, one hundred forty-four".
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