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117642168 = 23327233417
BaseRepresentation
bin1110000001100…
…01001110111000
322012100211201100
413000301032320
5220104022133
615401251400
72625641040
oct700611670
9265324640
10117642168
1160451336
1233493b60
131b4ac967
14118a4720
15a4dbe13
hex70313b8

117642168 has 48 divisors (see below), whose sum is σ = 364132080. Its totient is φ = 33611904.

The previous prime is 117642163. The next prime is 117642169. The reversal of 117642168 is 861246711.

It is a happy number.

117642168 is a `hidden beast` number, since 1 + 1 + 7 + 642 + 1 + 6 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (117642163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116205 + ... + 117212.

It is an arithmetic number, because the mean of its divisors is an integer number (7586085).

Almost surely, 2117642168 is an apocalyptic number.

117642168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117642168 is an abundant number, since it is smaller than the sum of its proper divisors (246489912).

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

117642168 is a wasteful number, since it uses less digits than its factorization.

117642168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233436 (or 233429 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 117642168 is about 10846.2974327648. The cubic root of 117642168 is about 489.9905148796.

Adding to 117642168 its reverse (861246711), we get a palindrome (978888879).

The spelling of 117642168 in words is "one hundred seventeen million, six hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 233417 466834 700251 933668 1400502 1633919 1867336 2100753 2801004 3267838 4201506 4901757 5602008 6535676 8403012 9803514 13071352 14705271 16806024 19607028 29410542 39214056 58821084 117642168