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135358290 = 2355531051
BaseRepresentation
bin10000001000101…
…10011101010010
3100102200220200000
420010112131102
5234122431130
621233110430
73232345404
oct1004263522
9312626600
10135358290
116a451761
12393b8416
1322073682
1413d96b74
15bd3b260
hex8116752

135358290 has 96 divisors (see below), whose sum is σ = 372206016. Its totient is φ = 35380800.

The previous prime is 135358277. The next prime is 135358313. The reversal of 135358290 is 92853531.

135358290 is a `hidden beast` number, since 13 + 5 + 358 + 290 = 666.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 128265 + ... + 129315.

It is an arithmetic number, because the mean of its divisors is an integer number (3877146).

Almost surely, 2135358290 is an apocalyptic number.

135358290 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 135358290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186103008).

135358290 is an abundant number, since it is smaller than the sum of its proper divisors (236847726).

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

135358290 is a wasteful number, since it uses less digits than its factorization.

135358290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135358290 is about 11634.3581688033. The cubic root of 135358290 is about 513.4462107240.

The spelling of 135358290 in words is "one hundred thirty-five million, three hundred fifty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1051 1215 1431 1590 2102 2385 2430 2862 3153 4293 4770 5255 6306 7155 8586 9459 10510 12879 14310 15765 18918 21465 25758 28377 31530 42930 47295 55703 56754 64395 85131 94590 111406 128790 141885 167109 170262 255393 278515 283770 334218 425655 501327 510786 557030 835545 851310 1002654 1276965 1503981 1671090 2506635 2553930 3007962 4511943 5013270 7519905 9023886 13535829 15039810 22559715 27071658 45119430 67679145 135358290