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116752986 = 23272196967
BaseRepresentation
bin1101111010110…
…00001001011010
322010200122222200
412331120021122
5214342043421
615330231030
72615245500
oct675301132
9263618880
10116752986
115a9a4279
1233125476
131b25b00c
1411712670
15a3b3726
hex6f5825a

116752986 has 72 divisors (see below), whose sum is σ = 309797280. Its totient is φ = 31597776.

The previous prime is 116752969. The next prime is 116753009. The reversal of 116752986 is 689257611.

116752986 is a `hidden beast` number, since 116 + 7 + 529 + 8 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13275 + ... + 20241.

It is an arithmetic number, because the mean of its divisors is an integer number (4302740).

Almost surely, 2116752986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116752986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154898640).

116752986 is an abundant number, since it is smaller than the sum of its proper divisors (193044294).

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

116752986 is a wasteful number, since it uses less digits than its factorization.

116752986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6998 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 116752986 is about 10805.2295672049. The cubic root of 116752986 is about 488.7528830315.

The spelling of 116752986 in words is "one hundred sixteen million, seven hundred fifty-two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 6967 8379 13934 16758 20901 41802 48769 62703 97538 125406 132373 146307 264746 292614 341383 397119 438921 682766 794238 877842 926611 1024149 1191357 1853222 2048298 2382714 2779833 3072447 5559666 6144894 6486277 8339499 12972554 16678998 19458831 38917662 58376493 116752986