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136236096 = 26321713913
BaseRepresentation
bin10000001111011…
…00110001000000
3100111100111210100
420013230301000
5234334023341
621304002400
73242662533
oct1007546100
9314314710
10136236096
116a9a1217
1239760400
13222c0099
1414144a1a
15be613b6
hex81ecc40

136236096 has 84 divisors (see below), whose sum is σ = 413496252. Its totient is φ = 42737664.

The previous prime is 136236091. The next prime is 136236131. The reversal of 136236096 is 690632631.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 38937600 = 9864^2 + 6240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136236096.

It is not an unprimeable number, because it can be changed into a prime (136236091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836 + ... + 16748.

Almost surely, 2136236096 is an apocalyptic number.

136236096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206748126).

136236096 is an abundant number, since it is smaller than the sum of its proper divisors (277260156).

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

136236096 is a wasteful number, since it uses less digits than its factorization.

136236096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13948 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 136236096 is about 11672.0219328101. The cubic root of 136236096 is about 514.5537290856.

The spelling of 136236096 in words is "one hundred thirty-six million, two hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 13913 27826 41739 55652 83478 111304 125217 166956 222608 236521 250434 333912 445216 473042 500868 667824 709563 890432 946084 1001736 1335648 1419126 1892168 2003472 2128689 2671296 2838252 3784336 4006944 4257378 5676504 7568672 8013888 8514756 11353008 15137344 17029512 22706016 34059024 45412032 68118048 136236096