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136081680 = 2435781001
BaseRepresentation
bin10000001110001…
…11000100010000
3100111001122222020
420013013010100
5234314103210
621300411440
73241450410
oct1007070420
9314048866
10136081680
116a8a61a9
12396a6b80
1322267a07
1414104640
15be30770
hex81c7110

136081680 has 80 divisors (see below), whose sum is σ = 482123904. Its totient is φ = 31104000.

The previous prime is 136081679. The next prime is 136081681. The reversal of 136081680 is 86180631.

136081680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136081679) and next prime (136081681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136081681) 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, 38821 + ... + 42180.

Almost surely, 2136081680 is an apocalyptic number.

136081680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136081680 is an abundant number, since it is smaller than the sum of its proper divisors (346042224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136081680 is a wasteful number, since it uses less digits than its factorization.

136081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81024 (or 81018 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 136081680 is about 11665.4052651419. The cubic root of 136081680 is about 514.3592496261.

The spelling of 136081680 in words is "one hundred thirty-six million, eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 81001 162002 243003 324004 405005 486006 567007 648008 810010 972012 1134014 1215015 1296016 1620020 1701021 1944024 2268028 2430030 2835035 3240040 3402042 3888048 4536056 4860060 5670070 6480080 6804084 8505105 9072112 9720120 11340140 13608168 17010210 19440240 22680280 27216336 34020420 45360560 68040840 136081680