Search a number
-
+
17105140 = 2251365789
BaseRepresentation
bin100000101000…
…0000011110100
31012012000211201
41001100003310
513334331030
61410342244
7265251133
oct101200364
935160751
1017105140
119723388
12588a984
13370b8b0
1423b391a
15177d2ca
hex10500f4

17105140 has 24 divisors (see below), whose sum is σ = 38684520. Its totient is φ = 6315648.

The previous prime is 17105093. The next prime is 17105147. The reversal of 17105140 is 4150171.

It can be written as a sum of positive squares in 4 ways, for example, as 556516 + 16548624 = 746^2 + 4068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17105147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32635 + ... + 33154.

It is an arithmetic number, because the mean of its divisors is an integer number (1611855).

Almost surely, 217105140 is an apocalyptic number.

17105140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17105140 is an abundant number, since it is smaller than the sum of its proper divisors (21579380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17105140 is a wasteful number, since it uses less digits than its factorization.

17105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65811 (or 65809 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 17105140 is about 4135.8360702523. The cubic root of 17105140 is about 257.6571573398.

The spelling of 17105140 in words is "seventeen million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 65789 131578 263156 328945 657890 855257 1315780 1710514 3421028 4276285 8552570 17105140