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136782816 = 2531783813
BaseRepresentation
bin10000010011100…
…10001111100000
3100112101021202020
420021302033200
5240004022231
621323421440
73250430502
oct1011621740
9315337666
10136782816
1170234a55
1239984880
1322451ba1
1414247d72
15c01d396
hex82723e0

136782816 has 48 divisors (see below), whose sum is σ = 380180304. Its totient is φ = 42911744.

The previous prime is 136782797. The next prime is 136782823. The reversal of 136782816 is 618287631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40275 + ... + 43538.

It is an arithmetic number, because the mean of its divisors is an integer number (7920423).

Almost surely, 2136782816 is an apocalyptic number.

136782816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136782816 is an abundant number, since it is smaller than the sum of its proper divisors (243397488).

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

136782816 is a wasteful number, since it uses less digits than its factorization.

136782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83843 (or 83835 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 136782816 is about 11695.4185902002. The cubic root of 136782816 is about 515.2411174956.

The spelling of 136782816 in words is "one hundred thirty-six million, seven hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 83813 167626 251439 335252 502878 670504 1005756 1341008 1424821 2011512 2682016 2849642 4023024 4274463 5699284 8046048 8548926 11398568 17097852 22797136 34195704 45594272 68391408 136782816