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135589860 = 223257215373
BaseRepresentation
bin10000001010011…
…10111111100100
3100110010200022200
420011032333210
5234202333420
621242054500
73234331500
oct1005167744
9313120280
10135589860
116a59a73a
12394aa430
1322124bb3
1414017300
15bd84b90
hex814efe4

135589860 has 108 divisors (see below), whose sum is σ = 478469628. Its totient is φ = 30989952.

The previous prime is 135589837. The next prime is 135589873. The reversal of 135589860 is 68985531.

135589860 is a `hidden beast` number, since 1 + 3 + 5 + 589 + 8 + 60 = 666.

135589860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 116510436 = 4368^2 + 10794^2 .

It is a super-2 number, since 2×1355898602 = 36769220269639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134 + ... + 16506.

Almost surely, 2135589860 is an apocalyptic number.

135589860 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 135589860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239234814).

135589860 is an abundant number, since it is smaller than the sum of its proper divisors (342879768).

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

135589860 is a wasteful number, since it uses less digits than its factorization.

135589860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15402 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 135589860 is about 11644.3059046042. The cubic root of 135589860 is about 513.7388439512.

The spelling of 135589860 in words is "one hundred thirty-five million, five hundred eighty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 15373 30746 46119 61492 76865 92238 107611 138357 153730 184476 215222 230595 276714 307460 322833 430444 461190 538055 553428 645666 691785 753277 922380 968499 1076110 1291332 1383570 1506554 1614165 1936998 2152220 2259831 2767140 3013108 3228330 3766385 3873996 4519662 4842495 6456660 6779493 7532770 9039324 9684990 11299155 13558986 15065540 19369980 22598310 27117972 33897465 45196620 67794930 135589860