Search a number
-
+
116986896 = 24331337563
BaseRepresentation
bin1101111100100…
…01010000010000
322011010112212000
412332101100100
5214422040041
615335234000
72620241445
oct676212020
9264115760
10116986896
1160043a94
1233218900
131b310620
14117739cc
15a40cbb6
hex6f91410

116986896 has 160 divisors (see below), whose sum is σ = 372059520. Its totient is φ = 34960896.

The previous prime is 116986889. The next prime is 116986897. The reversal of 116986896 is 698689611.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (116986897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207511 + ... + 208073.

It is an arithmetic number, because the mean of its divisors is an integer number (2325372).

Almost surely, 2116986896 is an apocalyptic number.

116986896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116986896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186029760).

116986896 is an abundant number, since it is smaller than the sum of its proper divisors (255072624).

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

116986896 is a wasteful number, since it uses less digits than its factorization.

116986896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 116986896 is about 10816.0480768162. The cubic root of 116986896 is about 489.0790643357.

The spelling of 116986896 in words is "one hundred sixteen million, nine hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 37 39 48 52 54 72 74 78 104 108 111 117 144 148 156 208 216 222 234 296 312 333 351 432 444 468 481 563 592 624 666 702 888 936 962 999 1126 1332 1404 1443 1689 1776 1872 1924 1998 2252 2664 2808 2886 3378 3848 3996 4329 4504 5067 5328 5616 5772 6756 7319 7696 7992 8658 9008 10134 11544 12987 13512 14638 15201 15984 17316 20268 20831 21957 23088 25974 27024 29276 30402 34632 40536 41662 43914 51948 58552 60804 62493 65871 69264 81072 83324 87828 103896 117104 121608 124986 131742 166648 175656 187479 197613 207792 243216 249972 263484 270803 333296 351312 374958 395226 499944 526968 541606 562437 749916 790452 812409 999888 1053936 1083212 1124874 1499832 1580904 1624818 2166424 2249748 2437227 2999664 3161808 3249636 4332848 4499496 4874454 6499272 7311681 8998992 9748908 12998544 14623362 19497816 29246724 38995632 58493448 116986896