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116463984 = 24372132293
BaseRepresentation
bin1101111000100…
…01100101110000
322010010222112220
412330101211300
5214303321414
615320121040
72612633100
oct674214560
9263128486
10116463984
115a81712a
1233006180
131b189600
1411679200
15a357ca9
hex6f11970

116463984 has 180 divisors, whose sum is σ = 380272536. Its totient is φ = 30610944.

The previous prime is 116463967. The next prime is 116464001. The reversal of 116463984 is 489364611.

It is an interprime number because it is at equal distance from previous prime (116463967) and next prime (116464001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397342 + ... + 397634.

Almost surely, 2116463984 is an apocalyptic number.

116463984 is a gapful number since it is divisible by the number (14) 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 116463984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190136268).

116463984 is an abundant number, since it is smaller than the sum of its proper divisors (263808552).

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

116463984 is a wasteful number, since it uses less digits than its factorization.

116463984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 116463984 is about 10791.8480345120. The cubic root of 116463984 is about 488.3492751716.

The spelling of 116463984 in words is "one hundred sixteen million, four hundred sixty-three thousand, nine hundred eighty-four".