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136263330 = 23357174241
BaseRepresentation
bin10000001111100…
…11011010100010
3100111101220011000
420013303122202
5234340411310
621304332430
73243135120
oct1007633242
9314356130
10136263330
116aa0a725
1239774116
13222cc5b8
1414150910
15be694c0
hex81f36a2

136263330 has 128 divisors (see below), whose sum is σ = 439810560. Its totient is φ = 29306880.

The previous prime is 136263329. The next prime is 136263353. The reversal of 136263330 is 33362631.

136263330 is a `hidden beast` number, since 1 + 3 + 626 + 3 + 3 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136263294 and 136263303.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30010 + ... + 34250.

It is an arithmetic number, because the mean of its divisors is an integer number (3436020).

Almost surely, 2136263330 is an apocalyptic number.

136263330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136263330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219905280).

136263330 is an abundant number, since it is smaller than the sum of its proper divisors (303547230).

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

136263330 is a wasteful number, since it uses less digits than its factorization.

136263330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 136263330 is about 11673.1885104285. The cubic root of 136263330 is about 514.5880137405.

The spelling of 136263330 in words is "one hundred thirty-six million, two hundred sixty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 4241 4590 5355 6426 8482 10710 12723 16065 21205 25446 29687 32130 38169 42410 59374 63615 72097 76338 89061 114507 127230 144194 148435 178122 190845 216291 229014 267183 296870 360485 381690 432582 445305 504679 534366 572535 648873 720970 801549 890610 1009358 1081455 1145070 1297746 1335915 1514037 1603098 1946619 2162910 2523395 2671830 3028074 3244365 3893238 4007745 4542111 5046790 6488730 7570185 8015490 9084222 9733095 13626333 15140370 19466190 22710555 27252666 45421110 68131665 136263330