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116170112 = 2717197271
BaseRepresentation
bin1101110110010…
…01110110000000
322002121001102202
412323021312000
5214214420422
615305532332
72610300242
oct673116600
9262531382
10116170112
115a636363
1232aa40a8
131b0b5916
1411600092
15a2eab92
hex6ec9d80

116170112 has 64 divisors (see below), whose sum is σ = 247199040. Its totient is φ = 54190080.

The previous prime is 116170111. The next prime is 116170127. The reversal of 116170112 is 211071611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116170111) 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 7 ways as a sum of consecutive naturals, for example, 428537 + ... + 428807.

It is an arithmetic number, because the mean of its divisors is an integer number (3862485).

Almost surely, 2116170112 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 116170112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123599520).

116170112 is an abundant number, since it is smaller than the sum of its proper divisors (131028928).

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

116170112 is a wasteful number, since it uses less digits than its factorization.

116170112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 116170112 is about 10778.2239724363. The cubic root of 116170112 is about 487.9381808281.

The spelling of 116170112 in words is "one hundred sixteen million, one hundred seventy thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 197 271 272 394 542 544 788 1084 1088 1576 2168 2176 3152 3349 4336 4607 6304 6698 8672 9214 12608 13396 17344 18428 25216 26792 34688 36856 53387 53584 73712 106774 107168 147424 213548 214336 294848 427096 428672 589696 854192 907579 1708384 1815158 3416768 3630316 6833536 7260632 14521264 29042528 58085056 116170112