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115057341 = 36723221
BaseRepresentation
bin1101101101110…
…10001010111101
322000111112000000
412312322022331
5213423313331
615230024513
72564654100
oct666721275
9260445000
10115057341
1159a46313
1232648139
131aab6289
14113d0737
15a17b0e6
hex6dba2bd

115057341 has 42 divisors (see below), whose sum is σ = 200733822. Its totient is φ = 65726640.

The previous prime is 115057333. The next prime is 115057351. The reversal of 115057341 is 143750511.

115057341 is a `hidden beast` number, since 1 + 1 + 50 + 573 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 7001316 = 10395^2 + 2646^2 .

It is not a de Polignac number, because 115057341 - 23 = 115057333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115057321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 34111 + ... + 37331.

Almost surely, 2115057341 is an apocalyptic number.

It is an amenable number.

115057341 is a deficient number, since it is larger than the sum of its proper divisors (85676481).

115057341 is an frugal number, since it uses more digits than its factorization.

115057341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 115057341 is about 10726.4784994890. The cubic root of 115057341 is about 486.3752246301.

The spelling of 115057341 in words is "one hundred fifteen million, fifty-seven thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 3221 3969 5103 9663 11907 22547 28989 35721 67641 86967 157829 202923 260901 473487 608769 782703 1420461 1826307 2348109 4261383 5478921 12784149 16436763 38352447 115057341