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116084448 = 25332941113
BaseRepresentation
bin1101110101101…
…00111011100000
322002102200221000
412322310323200
5214204200243
615304032000
72606462424
oct672647340
9262380830
10116084448
115a587a67
1232a62600
131b08592c
14115bab84
15a2d05d3
hex6eb4ee0

116084448 has 192 divisors, whose sum is σ = 361972800. Its totient is φ = 36126720.

The previous prime is 116084443. The next prime is 116084453. The reversal of 116084448 is 844480611.

116084448 is a `hidden beast` number, since 1 + 1 + 608 + 4 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (116084443) and next prime (116084453).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116084443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027240 + ... + 1027352.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2116084448 is an apocalyptic number.

116084448 is a gapful number since it is divisible by the number (18) 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 116084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

116084448 is an abundant number, since it is smaller than the sum of its proper divisors (245888352).

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

116084448 is a wasteful number, since it uses less digits than its factorization.

116084448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 116084448 is about 10774.2493009954. The cubic root of 116084448 is about 487.8182159078.

The spelling of 116084448 in words is "one hundred sixteen million, eighty-four thousand, four hundred forty-eight".