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115238971 = 1719477591
BaseRepresentation
bin1101101111001…
…10100000111011
322000211202011001
412313212200323
5214000121341
615233545431
72566341451
oct667464073
9260752131
10115238971
115a05a821
1232715277
131ab4ab53
141143a9d1
15a1b4d31
hex6de683b

115238971 has 16 divisors (see below), whose sum is σ = 131189760. Its totient is φ = 100552320.

The previous prime is 115238969. The next prime is 115239031. The reversal of 115238971 is 179832511.

115238971 is a nontrivial binomial coefficient, being equal to C(15182, 2).

It is a 7-Lehmer number, since φ(115238971) divides (115238971-1)7.

It is a cyclic number.

It is not a de Polignac number, because 115238971 - 21 = 115238969 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 115238971.

It is not an unprimeable number, because it can be changed into a prime (115238171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11386 + ... + 18976.

It is an arithmetic number, because the mean of its divisors is an integer number (8199360).

Almost surely, 2115238971 is an apocalyptic number.

115238971 is the 15181-st triangular number and also the 7591-st hexagonal number.

115238971 is the 5061-st centered nonagonal number.

115238971 is a deficient number, since it is larger than the sum of its proper divisors (15950789).

115238971 is a wasteful number, since it uses less digits than its factorization.

115238971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674.

The product of its digits is 15120, while the sum is 37.

The square root of 115238971 is about 10734.9415927615. The cubic root of 115238971 is about 486.6310213984.

It can be divided in two parts, 115 and 238971, that added together give a triangular number (239086 = T691).

The spelling of 115238971 in words is "one hundred fifteen million, two hundred thirty-eight thousand, nine hundred seventy-one".

Divisors: 1 17 19 47 323 799 893 7591 15181 129047 144229 356777 2451893 6065209 6778763 115238971