Search a number
-
+
17410068 = 22321337201
BaseRepresentation
bin100001001101…
…0100000010100
31012202112010100
41002122200110
513424110233
61421054100
7300661134
oct102324024
935675110
1017410068
119911495
1259b7330
1337b7620
142452ac4
1517dd813
hex109a814

17410068 has 36 divisors (see below), whose sum is σ = 47395348. Its totient is φ = 5356800.

The previous prime is 17410067. The next prime is 17410073. The reversal of 17410068 is 86001471.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 15776784 = 1278^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×174100682 = 606220935529248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17410067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18133 + ... + 19068.

Almost surely, 217410068 is an apocalyptic number.

17410068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

17410068 is an abundant number, since it is smaller than the sum of its proper divisors (29985280).

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

17410068 is a wasteful number, since it uses less digits than its factorization.

17410068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37224 (or 37219 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 17410068 is about 4172.5373575320. The cubic root of 17410068 is about 259.1792064367.

The spelling of 17410068 in words is "seventeen million, four hundred ten thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 37201 74402 111603 148804 223206 334809 446412 483613 669618 967226 1339236 1450839 1934452 2901678 4352517 5803356 8705034 17410068