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135789060 = 223511283727
BaseRepresentation
bin10000001011111…
…11101000000100
3100110111210120110
420011333220010
5234230222220
621250233020
73236121321
oct1005775004
9313453513
10135789060
116a716370
1239585770
1322194774
1414069b48
15bdc3be0
hex817fa04

135789060 has 96 divisors (see below), whose sum is σ = 416812032. Its totient is φ = 32757120.

The previous prime is 135789019. The next prime is 135789077. The reversal of 135789060 is 60987531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186417 + ... + 187143.

It is an arithmetic number, because the mean of its divisors is an integer number (4341792).

Almost surely, 2135789060 is an apocalyptic number.

135789060 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 135789060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208406016).

135789060 is an abundant number, since it is smaller than the sum of its proper divisors (281022972).

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

135789060 is a wasteful number, since it uses less digits than its factorization.

135789060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 135789060 is about 11652.8563022119. The cubic root of 135789060 is about 513.9903049946.

The spelling of 135789060 in words is "one hundred thirty-five million, seven hundred eighty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 727 849 1132 1415 1454 1698 2181 2830 2908 3113 3396 3635 4245 4362 5660 6226 7270 7997 8490 8724 9339 10905 12452 14540 15565 15994 16980 18678 21810 23991 31130 31988 37356 39985 43620 46695 47982 62260 79970 93390 95964 119955 159940 186780 205741 239910 411482 479820 617223 822964 1028705 1234446 2057410 2263151 2468892 3086115 4114820 4526302 6172230 6789453 9052604 11315755 12344460 13578906 22631510 27157812 33947265 45263020 67894530 135789060