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116295984 = 243271131021
BaseRepresentation
bin1101110111010…
…00100100110000
322002211110002200
412323220210300
5214232432414
615312343200
72611333230
oct673504460
9262743080
10116295984
115a711992
1232b44b00
131b12acbc
1411633cc0
15a323109
hex6ee8930

116295984 has 120 divisors (see below), whose sum is σ = 375621792. Its totient is φ = 32901120.

The previous prime is 116295983. The next prime is 116296007. The reversal of 116295984 is 489592611.

116295984 is a `hidden beast` number, since 11 + 629 + 5 + 9 + 8 + 4 = 666.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (116295983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113394 + ... + 114414.

Almost surely, 2116295984 is an apocalyptic number.

116295984 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 116295984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810896).

116295984 is an abundant number, since it is smaller than the sum of its proper divisors (259325808).

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

116295984 is a wasteful number, since it uses less digits than its factorization.

116295984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 116295984 is about 10784.0615725245. The cubic root of 116295984 is about 488.1143465809.

The spelling of 116295984 in words is "one hundred sixteen million, two hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1021 1356 1582 1808 2034 2042 2373 2712 3063 3164 4068 4084 4746 5424 6126 6328 7119 7147 8136 8168 9189 9492 12252 12656 14238 14294 16272 16336 18378 18984 21441 24504 28476 28588 36756 37968 42882 49008 56952 57176 64323 73512 85764 113904 114352 115373 128646 147024 171528 230746 257292 343056 346119 461492 514584 692238 807611 922984 1029168 1038357 1384476 1615222 1845968 2076714 2422833 2768952 3230444 4153428 4845666 5537904 6460888 7268499 8306856 9691332 12921776 14536998 16613712 19382664 29073996 38765328 58147992 116295984