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135071090 = 25711237431
BaseRepresentation
bin10000000110100…
…00010101110010
3100102011022200222
420003100111302
5234034233330
621223013042
73230041160
oct1003202562
9312138628
10135071090
116a275a00
123929a182
1321ca2a2b
1413d20230
15bcd10e5
hex80d0572

135071090 has 96 divisors (see below), whose sum is σ = 314399232. Its totient is φ = 40867200.

The previous prime is 135071077. The next prime is 135071107. The reversal of 135071090 is 90170531.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313175 + ... + 313605.

It is an arithmetic number, because the mean of its divisors is an integer number (3274992).

Almost surely, 2135071090 is an apocalyptic number.

135071090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135071090 is an abundant number, since it is smaller than the sum of its proper divisors (179328142).

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

135071090 is a wasteful number, since it uses less digits than its factorization.

135071090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 26.

The square root of 135071090 is about 11622.0088624988. The cubic root of 135071090 is about 513.0828142685.

The spelling of 135071090 in words is "one hundred thirty-five million, seventy-one thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 110 121 154 185 242 259 370 385 407 431 518 605 770 814 847 862 1210 1295 1694 2035 2155 2590 2849 3017 4070 4235 4310 4477 4741 5698 6034 8470 8954 9482 14245 15085 15947 22385 23705 28490 30170 31339 31894 33187 44770 47410 52151 62678 66374 79735 104302 111629 156695 159470 165935 175417 223258 260755 313390 331870 350834 365057 521510 558145 730114 877085 1116290 1227919 1754170 1825285 1929587 2455838 3650570 3859174 6139595 9647935 12279190 13507109 19295870 27014218 67535545 135071090