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135980586 = 23372173023
BaseRepresentation
bin10000001101011…
…10011000101010
3100110212112022000
420012232120222
5234302334321
621254311430
73240546600
oct1006563052
9313775260
10135980586
116a837255
1239658576
13222309b1
14140b9870
15be10826
hex81ae62a

135980586 has 96 divisors (see below), whose sum is σ = 372314880. Its totient is φ = 36554112.

The previous prime is 135980573. The next prime is 135980591. The reversal of 135980586 is 685089531.

135980586 is a `hidden beast` number, since 1 + 3 + 598 + 0 + 58 + 6 = 666.

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, 43471 + ... + 46493.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2135980586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135980586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

135980586 is an abundant number, since it is smaller than the sum of its proper divisors (236334294).

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

135980586 is a wasteful number, since it uses less digits than its factorization.

135980586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3052 counting only the distinct ones).

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

The square root of 135980586 is about 11661.0713916003. The cubic root of 135980586 is about 514.2318469374.

The spelling of 135980586 in words is "one hundred thirty-five million, nine hundred eighty thousand, five hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 3023 3213 4998 6046 6426 7497 9069 14994 18138 21161 22491 27207 42322 44982 51391 54414 63483 81621 102782 126966 148127 154173 163242 190449 296254 308346 359737 380898 444381 462519 571347 719474 888762 925038 1079211 1142694 1333143 1387557 2158422 2518159 2666286 2775114 3237633 3999429 5036318 6475266 7554477 7998858 9712899 15108954 19425798 22663431 45326862 67990293 135980586