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115662112 = 2547531451
BaseRepresentation
bin1101110010011…
…01110100100000
322001122020120221
412321031310200
5214102141422
615251012424
72603053216
oct671156440
9261566527
10115662112
115a319725
123289a114
131ac68627
141150acb6
15a24a3c7
hex6e4dd20

115662112 has 48 divisors (see below), whose sum is σ = 237105792. Its totient is φ = 55494400.

The previous prime is 115662097. The next prime is 115662119. The reversal of 115662112 is 211266511.

It is a happy number.

It is a super-3 number, since 3×1156621123 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (115662119) 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, 78987 + ... + 80437.

It is an arithmetic number, because the mean of its divisors is an integer number (4939704).

Almost surely, 2115662112 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 115662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552896).

115662112 is an abundant number, since it is smaller than the sum of its proper divisors (121443680).

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

115662112 is a wasteful number, since it uses less digits than its factorization.

115662112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 115662112 is about 10754.6321183014. The cubic root of 115662112 is about 487.2259070224.

The spelling of 115662112 in words is "one hundred fifteen million, six hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 53 94 106 188 212 376 424 752 848 1451 1504 1696 2491 2902 4982 5804 9964 11608 19928 23216 39856 46432 68197 76903 79712 136394 153806 272788 307612 545576 615224 1091152 1230448 2182304 2460896 3614441 7228882 14457764 28915528 57831056 115662112