Search a number
-
+
116881344 = 26321311549
BaseRepresentation
bin1101111011101…
…11011111000000
322010221012001200
412331313133000
5214410200334
615333101200
72616321636
oct675673700
9263835050
10116881344
115aa81758
1233187800
131b2a4578
1411747356
15a3db799
hex6f777c0

116881344 has 84 divisors (see below), whose sum is σ = 337794600. Its totient is φ = 38638080.

The previous prime is 116881337. The next prime is 116881351. The reversal of 116881344 is 443188611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116881337) and next prime (116881351).

It is a super-2 number, since 2×1168813442 = 27322497150492672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116881299 and 116881308.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 74682 + ... + 76230.

Almost surely, 2116881344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168897300).

116881344 is an abundant number, since it is smaller than the sum of its proper divisors (220913256).

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

116881344 is a wasteful number, since it uses less digits than its factorization.

116881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1685 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 116881344 is about 10811.1675595192. The cubic root of 116881344 is about 488.9319287483.

The spelling of 116881344 in words is "one hundred sixteen million, eight hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1549 1572 2096 2358 3098 3144 4192 4647 4716 6196 6288 8384 9294 9432 12392 12576 13941 18588 18864 24784 25152 27882 37176 37728 49568 55764 74352 75456 99136 111528 148704 202919 223056 297408 405838 446112 608757 811676 892224 1217514 1623352 1826271 2435028 3246704 3652542 4870056 6493408 7305084 9740112 12986816 14610168 19480224 29220336 38960448 58440672 116881344