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116007165 = 3254575641
BaseRepresentation
bin1101110101000…
…10000011111101
322002021202220200
412322202003331
5214144212130
615302234113
72606021211
oct672420375
9262252820
10116007165
115a53499a
1232a25939
131b0596c1
141159a941
15a2b7760
hex6ea20fd

116007165 has 24 divisors (see below), whose sum is σ = 201554808. Its totient is φ = 61724160.

The previous prime is 116007161. The next prime is 116007169. The reversal of 116007165 is 561700611.

It is an interprime number because it is at equal distance from previous prime (116007161) and next prime (116007169).

It can be written as a sum of positive squares in 4 ways, for example, as 67272804 + 48734361 = 8202^2 + 6981^2 .

It is not a de Polignac number, because 116007165 - 22 = 116007161 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116007161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17745 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (8398117).

Almost surely, 2116007165 is an apocalyptic number.

116007165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116007165 is a deficient number, since it is larger than the sum of its proper divisors (85547643).

116007165 is a wasteful number, since it uses less digits than its factorization.

116007165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 116007165 is about 10770.6622359073. The cubic root of 116007165 is about 487.7099371930.

Adding to 116007165 its reverse (561700611), we get a palindrome (677707776).

The spelling of 116007165 in words is "one hundred sixteen million, seven thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 457 1371 2285 4113 5641 6855 16923 20565 28205 50769 84615 253845 2577937 7733811 12889685 23201433 38669055 116007165