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116058033 = 32713141707
BaseRepresentation
bin1101110101011…
…10011110110001
322002101100200200
412322232132301
5214202324113
615303305413
72606322420
oct672563661
9262340620
10116058033
115a56a133
1232a4b269
131b0768c0
14115b12b7
15a2c7873
hex6eae7b1

116058033 has 24 divisors (see below), whose sum is σ = 206326848. Its totient is φ = 61216992.

The previous prime is 116058013. The next prime is 116058049. The reversal of 116058033 is 330850611.

It is not a de Polignac number, because 116058033 - 25 = 116058001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116057988 and 116058006.

It is not an unprimeable number, because it can be changed into a prime (116058013) 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 23 ways as a sum of consecutive naturals, for example, 70035 + ... + 71672.

It is an arithmetic number, because the mean of its divisors is an integer number (8596952).

Almost surely, 2116058033 is an apocalyptic number.

116058033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116058033 is a deficient number, since it is larger than the sum of its proper divisors (90268815).

116058033 is a wasteful number, since it uses less digits than its factorization.

116058033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141733 (or 141730 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116058033 is about 10773.0233917875. The cubic root of 116058033 is about 487.7812121119.

The spelling of 116058033 in words is "one hundred sixteen million, fifty-eight thousand, thirty-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 141707 425121 991949 1275363 1842191 2975847 5526573 8927541 12895337 16579719 38686011 116058033