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116575209 = 32592612
BaseRepresentation
bin1101111001011…
…00101111101001
322010100122010100
412330230233221
5214320401314
615322340013
72613605262
oct674545751
9263318110
10116575209
115a892753
123305a609
131b1c811a
14116a7969
15a37ac09
hex6f2cbe9

116575209 has 27 divisors (see below), whose sum is σ = 174142839. Its totient is φ = 75147120.

The previous prime is 116575187. The next prime is 116575219. The reversal of 116575209 is 902575611.

The square root of 116575209 is 10797.

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

It can be written as a sum of positive squares in only one way, i.e., 3790809 + 112784400 = 1947^2 + 10620^2 .

It is not a de Polignac number, because 116575209 - 211 = 116573161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116575219) 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 26 ways as a sum of consecutive naturals, for example, 1911039 + ... + 1911099.

Almost surely, 2116575209 is an apocalyptic number.

116575209 is the 10797-th square number.

116575209 is the 5399-th centered octagonal number.

It is an amenable number.

116575209 is a deficient number, since it is larger than the sum of its proper divisors (57567630).

116575209 is an frugal number, since it uses more digits than its factorization.

116575209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The cubic root of 116575209 is about 488.5046862104.

Multiplying 116575209 by its sum of digits (36), we get a square (4196707524 = 647822).

The spelling of 116575209 in words is "one hundred sixteen million, five hundred seventy-five thousand, two hundred nine".

Divisors: 1 3 9 59 61 177 183 531 549 3481 3599 3721 10443 10797 11163 31329 32391 33489 212341 219539 637023 658617 1911069 1975851 12952801 38858403 116575209