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117243984 = 2431113192931
BaseRepresentation
bin1101111110100…
…00000001010000
322011121121111210
412333100001100
5220003301414
615344540120
72622362124
oct677200120
9264547453
10117243984
11601aa160
1233321640
131b3a0650
14117dd584
15a45de59
hex6fd0050

117243984 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 29030400.

The previous prime is 117243983. The next prime is 117244007. The reversal of 117243984 is 489342711.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (48384) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117243983) 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 63 ways as a sum of consecutive naturals, for example, 3782049 + ... + 3782079.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2117243984 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 117243984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

117243984 is an abundant number, since it is smaller than the sum of its proper divisors (282730416).

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

117243984 is a wasteful number, since it uses less digits than its factorization.

117243984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 117243984 is about 10827.9261172212. The cubic root of 117243984 is about 489.4370655873.

The spelling of 117243984 in words is "one hundred seventeen million, two hundred forty-three thousand, nine hundred eighty-four".