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136083312 = 24322932587
BaseRepresentation
bin10000001110001…
…11011101110000
3100111001202012200
420013013131300
5234314131222
621300423200
73241455231
oct1007073560
9314052180
10136083312
116a8a7452
12396a7b00
1322268691
1414105088
15be30eac
hex81c7770

136083312 has 60 divisors (see below), whose sum is σ = 393988920. Its totient is φ = 43795584.

The previous prime is 136083307. The next prime is 136083313. The reversal of 136083312 is 213380631.

It is a happy number.

136083312 is a `hidden beast` number, since 13 + 608 + 33 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136083313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12118 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (6566482).

Almost surely, 2136083312 is an apocalyptic number.

136083312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136083312 is an abundant number, since it is smaller than the sum of its proper divisors (257905608).

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

136083312 is a wasteful number, since it uses less digits than its factorization.

136083312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32630 (or 32621 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136083312 is about 11665.4752153524. The cubic root of 136083312 is about 514.3613058200.

The spelling of 136083312 in words is "one hundred thirty-six million, eighty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 32587 65174 97761 130348 195522 260696 293283 391044 521392 586566 782088 945023 1173132 1564176 1890046 2346264 2835069 3780092 4692528 5670138 7560184 8505207 11340276 15120368 17010414 22680552 34020828 45361104 68041656 136083312