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116186841 = 3235932
BaseRepresentation
bin1101110110011…
…01111011011001
322002121220101100
412323031323121
5214220434331
615310142013
72610400101
oct673157331
9262556340
10116186841
115a647991
1232ab1909
131b0c0414
1411606201
15a300ae6
hex6ecded9

116186841 has 9 divisors (see below), whose sum is σ = 167872159. Its totient is φ = 77436336.

The previous prime is 116186821. The next prime is 116186849. The reversal of 116186841 is 148681611.

The square root of 116186841 is 10779.

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., 36905625 + 79281216 = 6075^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 116186841 - 25 = 116186809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116186796 and 116186805.

It is not an unprimeable number, because it can be changed into a prime (116186849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30541 + ... + 34133.

Almost surely, 2116186841 is an apocalyptic number.

116186841 is the 10779-th square number.

116186841 is the 5390-th centered octagonal number.

It is an amenable number.

116186841 is a deficient number, since it is larger than the sum of its proper divisors (51685318).

116186841 is an frugal number, since it uses more digits than its factorization.

116186841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 3596 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The cubic root of 116186841 is about 487.9616014421.

Multiplying 116186841 by its sum of digits (36), we get a square (4182726276 = 646742).

Multiplying 116186841 by its product of digits (9216), we get a square (1070777926656 = 10347842).

The spelling of 116186841 in words is "one hundred sixteen million, one hundred eighty-six thousand, eight hundred forty-one".

Divisors: 1 3 9 3593 10779 32337 12909649 38728947 116186841