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136081320 = 233531157233
BaseRepresentation
bin10000001110001…
…10111110101000
3100111001122110220
420013012332220
5234314100240
621300410040
73241446354
oct1007067650
9314048426
10136081320
116a8a5a01
12396a6920
13222677bb
1414104464
15be305d0
hex81c6fa8

136081320 has 128 divisors (see below), whose sum is σ = 425917440. Its totient is φ = 34744320.

The previous prime is 136081313. The next prime is 136081321. The reversal of 136081320 is 23180631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (136081321) 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 31 ways as a sum of consecutive naturals, for example, 583924 + ... + 584156.

It is an arithmetic number, because the mean of its divisors is an integer number (3327480).

Almost surely, 2136081320 is an apocalyptic number.

136081320 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 136081320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212958720).

136081320 is an abundant number, since it is smaller than the sum of its proper divisors (289836120).

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

136081320 is a wasteful number, since it uses less digits than its factorization.

136081320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136081320 is about 11665.3898348919. The cubic root of 136081320 is about 514.3587960517.

The spelling of 136081320 in words is "one hundred thirty-six million, eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 157 186 233 248 310 314 372 465 466 471 620 628 699 744 785 930 932 942 1165 1240 1256 1398 1570 1860 1864 1884 2330 2355 2796 3140 3495 3720 3768 4660 4710 4867 5592 6280 6990 7223 9320 9420 9734 13980 14446 14601 18840 19468 21669 24335 27960 28892 29202 36115 36581 38936 43338 48670 57784 58404 72230 73005 73162 86676 97340 108345 109743 116808 144460 146010 146324 173352 182905 194680 216690 219486 288920 292020 292648 365810 433380 438972 548715 584040 731620 866760 877944 1097430 1134011 1463240 2194860 2268022 3402033 4389720 4536044 5670055 6804066 9072088 11340110 13608132 17010165 22680220 27216264 34020330 45360440 68040660 136081320