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135393390 = 23351145587
BaseRepresentation
bin10000001000111…
…11000001101110
3100102202200211000
420010133001232
5234130042030
621233541130
73232552626
oct1004370156
9312680730
10135393390
116a476070
12394147a6
1322086642
1413da5886
15bd46860
hex811f06e

135393390 has 64 divisors (see below), whose sum is σ = 393880320. Its totient is φ = 32821920.

The previous prime is 135393371. The next prime is 135393403. The reversal of 135393390 is 93393531.

135393390 is a `hidden beast` number, since 1 + 3 + 539 + 33 + 90 = 666.

It is a congruent number.

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, 19824 + ... + 25763.

It is an arithmetic number, because the mean of its divisors is an integer number (6154380).

Almost surely, 2135393390 is an apocalyptic number.

135393390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135393390 is an abundant number, since it is smaller than the sum of its proper divisors (258486930).

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

135393390 is a wasteful number, since it uses less digits than its factorization.

135393390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45614 (or 45608 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 36.

The square root of 135393390 is about 11635.8665341263. The cubic root of 135393390 is about 513.4905877731.

The spelling of 135393390 in words is "one hundred thirty-five million, three hundred ninety-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 45587 91174 136761 227935 273522 410283 455870 501457 683805 820566 1002914 1230849 1367610 1504371 2051415 2461698 2507285 3008742 4102830 4513113 5014570 6154245 7521855 9026226 12308490 13539339 15043710 22565565 27078678 45131130 67696695 135393390