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116684729 = 72412412
BaseRepresentation
bin1101111010001…
…11011110111001
322010120012100122
412331013132321
5214332402404
615324543025
72614542500
oct675073671
9263505318
10116684729
115a957a67
12330b1a75
131b235c25
14116d5837
15a39d3be
hex6f477b9

116684729 has 18 divisors (see below), whose sum is σ = 139625262. Its totient is φ = 97171200.

The previous prime is 116684707. The next prime is 116684749. The reversal of 116684729 is 927486611.

It can be written as a sum of positive squares in 3 ways, for example, as 15642025 + 101042704 = 3955^2 + 10052^2 .

It is not a de Polignac number, because 116684729 - 28 = 116684473 is a prime.

It is a super-3 number, since 3×1166847293 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 116684729.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116684749) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 484049 + ... + 484289.

It is an arithmetic number, because the mean of its divisors is an integer number (7756959).

Almost surely, 2116684729 is an apocalyptic number.

It is an amenable number.

116684729 is a deficient number, since it is larger than the sum of its proper divisors (22940533).

116684729 is an frugal number, since it uses more digits than its factorization.

116684729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 289 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 116684729 is about 10802.0705885492. The cubic root of 116684729 is about 488.6576183477.

The spelling of 116684729 in words is "one hundred sixteen million, six hundred eighty-four thousand, seven hundred twenty-nine".

Divisors: 1 7 41 49 241 287 1687 2009 9881 11809 58081 69167 406567 484169 2381321 2845969 16669247 116684729