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136731240 = 23385521
BaseRepresentation
bin10000010011001…
…01101001101000
3100112021200000000
420021211221220
5240000344430
621322343000
73250124232
oct1011455150
9315250000
10136731240
11701aa228
123995aa60
1322434579
1414233252
15c00ce60
hex8265a68

136731240 has 144 divisors (see below), whose sum is σ = 462330180. Its totient is φ = 36391680.

The previous prime is 136731223. The next prime is 136731241. The reversal of 136731240 is 42137631.

It can be written as a sum of positive squares in 2 ways, for example, as 132296004 + 4435236 = 11502^2 + 2106^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136731241) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 262180 + ... + 262700.

Almost surely, 2136731240 is an apocalyptic number.

136731240 is a gapful number since it is divisible by the number (10) 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 136731240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231165090).

136731240 is an abundant number, since it is smaller than the sum of its proper divisors (325598940).

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

136731240 is an frugal number, since it uses more digits than its factorization.

136731240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136731240 is about 11693.2134163368. The cubic root of 136731240 is about 515.1763495727.

Adding to 136731240 its reverse (42137631), we get a palindrome (178868871).

The spelling of 136731240 in words is "one hundred thirty-six million, seven hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 521 540 648 729 810 972 1042 1080 1215 1458 1563 1620 1944 2084 2187 2430 2605 2916 3126 3240 3645 4168 4374 4689 4860 5210 5832 6252 6561 7290 7815 8748 9378 9720 10420 10935 12504 13122 14067 14580 15630 17496 18756 20840 21870 23445 26244 28134 29160 31260 32805 37512 42201 43740 46890 52488 56268 62520 65610 70335 84402 87480 93780 112536 126603 131220 140670 168804 187560 211005 253206 262440 281340 337608 379809 422010 506412 562680 633015 759618 844020 1012824 1139427 1266030 1519236 1688040 1899045 2278854 2532060 3038472 3418281 3798090 4557708 5064120 5697135 6836562 7596180 9115416 11394270 13673124 15192360 17091405 22788540 27346248 34182810 45577080 68365620 136731240