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117168840 = 233253110499
BaseRepresentation
bin1101111101111…
…01101011001000
322011110210102200
412332331223020
5214443400330
615343200200
72621630055
oct676755310
9264423380
10117168840
1160158758
12332a6060
131b375399
14117c002c
15a446a60
hex6fbdac8

117168840 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 30234240.

The previous prime is 117168833. The next prime is 117168841. The reversal of 117168840 is 48861711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117168795 and 117168804.

It is not an unprimeable number, because it can be changed into a prime (117168841) 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, 5911 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2117168840 is an apocalyptic number.

117168840 is a gapful number since it is divisible by the number (10) 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 117168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

117168840 is an abundant number, since it is smaller than the sum of its proper divisors (275951160).

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

117168840 is a wasteful number, since it uses less digits than its factorization.

117168840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117168840 is about 10824.4556445116. The cubic root of 117168840 is about 489.3324799255.

The spelling of 117168840 in words is "one hundred seventeen million, one hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 10499 11160 20998 31497 41996 52495 62994 83992 94491 104990 125988 157485 188982 209980 251976 314970 325469 377964 419960 472455 629940 650938 755928 944910 976407 1259880 1301876 1627345 1889820 1952814 2603752 2929221 3254690 3779640 3905628 4882035 5858442 6509380 7811256 9764070 11716884 13018760 14646105 19528140 23433768 29292210 39056280 58584420 117168840