Search a number
-
+
116166510 = 23253673517
BaseRepresentation
bin1101110110010…
…00111101101110
322002120212111100
412323020331232
5214214312020
615305503530
72610253605
oct673107556
9262525440
10116166510
115a633689
1232aa1ba6
131b0b40a5
14115dca3c
15a2e9a90
hex6ec8f6e

116166510 has 48 divisors (see below), whose sum is σ = 302942016. Its totient is φ = 30884544.

The previous prime is 116166503. The next prime is 116166511. The reversal of 116166510 is 15661611.

116166510 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 651 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116166511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31272 + ... + 34788.

It is an arithmetic number, because the mean of its divisors is an integer number (6311292).

Almost surely, 2116166510 is an apocalyptic number.

116166510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116166510 is an abundant number, since it is smaller than the sum of its proper divisors (186775506).

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

116166510 is a wasteful number, since it uses less digits than its factorization.

116166510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 116166510 is about 10778.0568749659. The cubic root of 116166510 is about 487.9331377309.

The spelling of 116166510 in words is "one hundred sixteen million, one hundred sixty-six thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 367 734 1101 1835 2202 3303 3517 3670 5505 6606 7034 10551 11010 16515 17585 21102 31653 33030 35170 52755 63306 105510 158265 316530 1290739 2581478 3872217 6453695 7744434 11616651 12907390 19361085 23233302 38722170 58083255 116166510