Search a number
-
+
17087120 = 245213589
BaseRepresentation
bin100000100101…
…1101010010000
31012011010010022
41001023222100
513333241440
61410123012
7265144451
oct101135220
935133108
1017087120
119710896
125880468
13370362b
1423ab128
151777cb5
hex104ba90

17087120 has 20 divisors (see below), whose sum is σ = 39727740. Its totient is φ = 6834816.

The previous prime is 17087111. The next prime is 17087123. The reversal of 17087120 is 2178071.

It can be written as a sum of positive squares in 2 ways, for example, as 8976016 + 8111104 = 2996^2 + 2848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 17087120.

It is not an unprimeable number, because it can be changed into a prime (17087123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106715 + ... + 106874.

It is an arithmetic number, because the mean of its divisors is an integer number (1986387).

Almost surely, 217087120 is an apocalyptic number.

17087120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17087120 is an abundant number, since it is smaller than the sum of its proper divisors (22640620).

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

17087120 is a wasteful number, since it uses less digits than its factorization.

17087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213602 (or 213596 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 17087120 is about 4133.6569765766. The cubic root of 17087120 is about 257.5666462738.

The spelling of 17087120 in words is "seventeen million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 213589 427178 854356 1067945 1708712 2135890 3417424 4271780 8543560 17087120