Search a number
-
+
136106838 = 2337360071
BaseRepresentation
bin10000001110011…
…01001101010110
3100111002221111000
420013031031112
5234320404323
621301124130
73241613640
oct1007151526
9314087430
10136106838
116a91309a
12396b9646
13222762ba
141410d890
15be37e43
hex81cd356

136106838 has 32 divisors (see below), whose sum is σ = 345669120. Its totient is φ = 38887560.

The previous prime is 136106819. The next prime is 136106851. The reversal of 136106838 is 838601631.

136106838 is a `hidden beast` number, since 1 + 3 + 610 + 6 + 8 + 38 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179658 + ... + 180413.

It is an arithmetic number, because the mean of its divisors is an integer number (10802160).

Almost surely, 2136106838 is an apocalyptic number.

136106838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

136106838 is an abundant number, since it is smaller than the sum of its proper divisors (209562282).

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

136106838 is a wasteful number, since it uses less digits than its factorization.

136106838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360089 (or 360083 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136106838 is about 11666.4835318960. The cubic root of 136106838 is about 514.3909449350.

The spelling of 136106838 in words is "one hundred thirty-six million, one hundred six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 360071 720142 1080213 2160426 2520497 3240639 5040994 6481278 7561491 9721917 15122982 19443834 22684473 45368946 68053419 136106838