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116132593 = 1753612113
BaseRepresentation
bin1101110110000…
…00101011110001
322002112010222011
412323000223301
5214212220333
615305042521
72610052663
oct673005361
9262463864
10116132593
115a610155
1232a86441
131b0a1815
14115d0533
15a2de9cd
hex6ec0af1

116132593 has 16 divisors (see below), whose sum is σ = 127398096. Its totient is φ = 105431040.

The previous prime is 116132573. The next prime is 116132609. The reversal of 116132593 is 395231611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19070689 + 97061904 = 4367^2 + 9852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-116132593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116132563) 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, 53905 + ... + 56017.

It is an arithmetic number, because the mean of its divisors is an integer number (7962381).

Almost surely, 2116132593 is an apocalyptic number.

It is an amenable number.

116132593 is a deficient number, since it is larger than the sum of its proper divisors (11265503).

116132593 is a wasteful number, since it uses less digits than its factorization.

116132593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244.

The product of its digits is 4860, while the sum is 31.

The square root of 116132593 is about 10776.4833317739. The cubic root of 116132593 is about 487.8856460195.

The spelling of 116132593 in words is "one hundred sixteen million, one hundred thirty-two thousand, five hundred ninety-three".

Divisors: 1 17 53 61 901 1037 2113 3233 35921 54961 111989 128893 1903813 2191181 6831329 116132593