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115206641 = 1123725733
BaseRepresentation
bin1101101110111…
…10100111110001
322000210002210122
412313132213301
5213443103031
615233140025
72566145264
oct667364761
9260702718
10115206641
115a038500
12326ba615
131ab39214
141142ccdb
15a1aa47b
hex6dde9f1

115206641 has 12 divisors (see below), whose sum is σ = 130059636. Its totient is φ = 101898720.

The previous prime is 115206631. The next prime is 115206643. The reversal of 115206641 is 146602511.

It can be written as a sum of positive squares in 2 ways, for example, as 53348416 + 61858225 = 7304^2 + 7865^2 .

It is not a de Polignac number, because 115206641 - 222 = 111012337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115206641.

It is not an unprimeable number, because it can be changed into a prime (115206643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8390 + ... + 17343.

It is an arithmetic number, because the mean of its divisors is an integer number (10838303).

Almost surely, 2115206641 is an apocalyptic number.

115206641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115206641 is a deficient number, since it is larger than the sum of its proper divisors (14852995).

115206641 is a wasteful number, since it uses less digits than its factorization.

115206641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25792 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 115206641 is about 10733.4356568622. The cubic root of 115206641 is about 486.5855094439.

The spelling of 115206641 in words is "one hundred fifteen million, two hundred six thousand, six hundred forty-one".

Divisors: 1 11 37 121 407 4477 25733 283063 952121 3113693 10473331 115206641