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135388260 = 22345711939
BaseRepresentation
bin10000001000111…
…01110001100100
3100102202102210000
420010131301210
5234124411020
621233501300
73232531650
oct1004356144
9312672700
10135388260
116a472227
1239411830
13220841c7
1413da3a60
15bd45090
hex811dc64

135388260 has 120 divisors (see below), whose sum is σ = 485432640. Its totient is φ = 30943296.

The previous prime is 135388259. The next prime is 135388271. The reversal of 135388260 is 62883531.

135388260 is a `hidden beast` number, since 13 + 5 + 388 + 260 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5371 + ... + 17309.

It is an arithmetic number, because the mean of its divisors is an integer number (4045272).

Almost surely, 2135388260 is an apocalyptic number.

135388260 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 135388260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242716320).

135388260 is an abundant number, since it is smaller than the sum of its proper divisors (350044380).

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

135388260 is a wasteful number, since it uses less digits than its factorization.

135388260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11967 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 135388260 is about 11635.6460929336. The cubic root of 135388260 is about 513.4841023753.

The spelling of 135388260 in words is "one hundred thirty-five million, three hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 11939 23878 35817 47756 59695 71634 83573 107451 119390 143268 167146 179085 214902 238780 250719 322353 334292 358170 417865 429804 501438 537255 644706 716340 752157 835730 967059 1002876 1074510 1253595 1289412 1504314 1611765 1671460 1934118 2149020 2256471 2507190 3008628 3223530 3760785 3868236 4512942 4835295 5014380 6447060 6769413 7521570 9025884 9670590 11282355 13538826 15043140 19341180 22564710 27077652 33847065 45129420 67694130 135388260