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116716288 = 2813172063
BaseRepresentation
bin1101111010011…
…11001100000000
322010121210122111
412331033030000
5214334410123
615325345104
72615033503
oct675171400
9263553574
10116716288
115a979747
1233108194
131b2473c0
141170313a
15a3a790d
hex6f4f300

116716288 has 72 divisors (see below), whose sum is σ = 265785408. Its totient is φ = 50675712.

The previous prime is 116716279. The next prime is 116716309. The reversal of 116716288 is 882617611.

It is a self number, because there is not a number n which added to its sum of digits gives 116716288.

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 7 ways as a sum of consecutive naturals, for example, 55545 + ... + 57607.

It is an arithmetic number, because the mean of its divisors is an integer number (3691464).

Almost surely, 2116716288 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 116716288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892704).

116716288 is an abundant number, since it is smaller than the sum of its proper divisors (149069120).

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

116716288 is a wasteful number, since it uses less digits than its factorization.

116716288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2095 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 116716288 is about 10803.5312745417. The cubic root of 116716288 is about 488.7016691154.

The spelling of 116716288 in words is "one hundred sixteen million, seven hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1664 1768 2063 2176 3328 3536 4126 4352 7072 8252 14144 16504 26819 28288 33008 35071 53638 56576 66016 70142 107276 132032 140284 214552 264064 280568 429104 455923 528128 561136 858208 911846 1122272 1716416 1823692 2244544 3432832 3647384 4489088 6865664 7294768 8978176 14589536 29179072 58358144 116716288