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136310800 = 2452340777
BaseRepresentation
bin10000001111111…
…11000000010000
3100111111022021011
420013333000100
5234343421200
621305340304
73243423403
oct1007770020
9314438234
10136310800
116aa4235a
1239797694
13223180a2
1414163d3a
15be785ba
hex81ff010

136310800 has 30 divisors (see below), whose sum is σ = 327487658. Its totient is φ = 54524160.

The previous prime is 136310791. The next prime is 136310803. The reversal of 136310800 is 8013631.

It can be written as a sum of positive squares in 3 ways, for example, as 541696 + 135769104 = 736^2 + 11652^2 .

It is a super-3 number, since 3×1363108003 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (136310803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 169989 + ... + 170788.

Almost surely, 2136310800 is an apocalyptic number.

136310800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136310800 is an abundant number, since it is smaller than the sum of its proper divisors (191176858).

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

136310800 is a wasteful number, since it uses less digits than its factorization.

136310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340795 (or 340784 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 136310800 is about 11675.2216253054. The cubic root of 136310800 is about 514.6477624074.

The spelling of 136310800 in words is "one hundred thirty-six million, three hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 340777 681554 1363108 1703885 2726216 3407770 5452432 6815540 8519425 13631080 17038850 27262160 34077700 68155400 136310800