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136106900 = 22521361069
BaseRepresentation
bin10000001110011…
…01001110010100
3100111002221120022
420013031032110
5234320410100
621301124312
73241614056
oct1007151624
9314087508
10136106900
116a913146
12396b9698
1322276337
141410d8d6
15be37e85
hex81cd394

136106900 has 18 divisors (see below), whose sum is σ = 295352190. Its totient is φ = 54442720.

The previous prime is 136106851. The next prime is 136106903. The reversal of 136106900 is 9601631.

136106900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 42172036 + 93934864 = 6494^2 + 9692^2 .

It is a super-2 number, since 2×1361069002 = 37050176455220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136106900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136106903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 680435 + ... + 680634.

It is an arithmetic number, because the mean of its divisors is an integer number (16408455).

Almost surely, 2136106900 is an apocalyptic number.

136106900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136106900 is an abundant number, since it is smaller than the sum of its proper divisors (159245290).

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

136106900 is a wasteful number, since it uses less digits than its factorization.

136106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361083 (or 1361076 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 136106900 is about 11666.4861890802. The cubic root of 136106900 is about 514.3910230409.

The spelling of 136106900 in words is "one hundred thirty-six million, one hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1361069 2722138 5444276 6805345 13610690 27221380 34026725 68053450 136106900