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117141066 = 235724919
BaseRepresentation
bin1101111101101…
…10111001001010
322011102101100000
412332312321022
5214442003231
615342423430
72621453100
oct676667112
9264371300
10117141066
11601398a9
1233291b76
131b365853
14117b3c70
15a43d6e6
hex6fb6e4a

117141066 has 72 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 33462072.

The previous prime is 117141053. The next prime is 117141071. The reversal of 117141066 is 660141711.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 35 ways as a sum of consecutive naturals, for example, 21355 + ... + 26273.

It is an arithmetic number, because the mean of its divisors is an integer number (4253340).

Almost surely, 2117141066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117141066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

117141066 is an abundant number, since it is smaller than the sum of its proper divisors (189099414).

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

117141066 is an equidigital number, since it uses as much as digits as its factorization.

117141066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117141066 is about 10823.1726402197. The cubic root of 117141066 is about 489.2938126647.

Adding to 117141066 its reverse (660141711), we get a palindrome (777282777).

The spelling of 117141066 in words is "one hundred seventeen million, one hundred forty-one thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3969 4919 7938 9838 11907 14757 23814 29514 34433 44271 68866 88542 103299 132813 206598 241031 265626 309897 398439 482062 619794 723093 796878 929691 1195317 1446186 1859382 2169279 2390634 2789073 4338558 5578146 6507837 8367219 13015674 16734438 19523511 39047022 58570533 117141066