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115756081 = 72292532
BaseRepresentation
bin1101110011001…
…00110000110001
322001211000111021
412321210300301
5214113143311
615253015441
72603624200
oct671446061
9261730437
10115756081
115a383291
1232924581
131ac9c32c
1411533237
15a268171
hex6e64c31

115756081 has 27 divisors (see below), whose sum is σ = 142139361. Its totient is φ = 93990624.

The previous prime is 115756073. The next prime is 115756087. The reversal of 115756081 is 180657511.

The square root of 115756081 is 10759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7263025 + 108493056 = 2695^2 + 10416^2 .

It is not a de Polignac number, because 115756081 - 23 = 115756073 is a prime.

It is a super-2 number, since 2×1157560812 = 26798940576957122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115756087) 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 26 ways as a sum of consecutive naturals, for example, 2184051 + ... + 2184103.

Almost surely, 2115756081 is an apocalyptic number.

115756081 is the 10759-th square number.

115756081 is the 5380-th centered octagonal number.

It is an amenable number.

115756081 is a deficient number, since it is larger than the sum of its proper divisors (26383280).

115756081 is an frugal number, since it uses more digits than its factorization.

115756081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

The cubic root of 115756081 is about 487.3578192423.

The spelling of 115756081 in words is "one hundred fifteen million, seven hundred fifty-six thousand, eighty-one".

Divisors: 1 7 29 49 53 203 371 841 1421 1537 2597 2809 5887 10759 19663 41209 44573 75313 81461 137641 312011 570227 2184077 2362369 3991589 16536583 115756081