Search a number
-
+
116231934 = 237131931103
BaseRepresentation
bin1101110110110…
…00111011111110
322002201012020110
412323120323332
5214223410214
615311130450
72610645420
oct673307376
9262635213
10116231934
115a678855
1232b13a26
131b107ac0
1411618810
15a30e159
hex6ed8efe

116231934 has 64 divisors (see below), whose sum is σ = 287852544. Its totient is φ = 30468096.

The previous prime is 116231933. The next prime is 116231963. The reversal of 116231934 is 439132611.

It is a super-3 number, since 3×1162319343 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116231933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104827 + ... + 105929.

It is an arithmetic number, because the mean of its divisors is an integer number (4497696).

Almost surely, 2116231934 is an apocalyptic number.

116231934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116231934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143926272).

116231934 is an abundant number, since it is smaller than the sum of its proper divisors (171620610).

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

116231934 is a wasteful number, since it uses less digits than its factorization.

116231934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its digits is 3888, while the sum is 30.

The square root of 116231934 is about 10781.0915031828. The cubic root of 116231934 is about 488.0247204847.

The spelling of 116231934 in words is "one hundred sixteen million, two hundred thirty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 193 273 386 546 579 1103 1158 1351 2206 2509 2702 3309 4053 5018 6618 7527 7721 8106 14339 15054 15442 17563 23163 28678 35126 43017 46326 52689 86034 100373 105378 200746 212879 301119 425758 602238 638637 1277274 1490153 2767427 2980306 4470459 5534854 8302281 8940918 16604562 19371989 38743978 58115967 116231934