Search a number
-
+
135596034 = 23272473271
BaseRepresentation
bin10000001010100…
…00100000000010
3100110010222210100
420011100200002
5234203033114
621242143230
73234355500
oct1005204002
9313128710
10135596034
116a5a4342
12394b1b16
1322127952
1414019670
15bd86909
hex8150802

135596034 has 72 divisors (see below), whose sum is σ = 349135488. Its totient is φ = 37905840.

The previous prime is 135596023. The next prime is 135596047. The reversal of 135596034 is 430695531.

135596034 is a `hidden beast` number, since 1 + 35 + 596 + 0 + 34 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135596034.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39819 + ... + 43089.

It is an arithmetic number, because the mean of its divisors is an integer number (4849104).

Almost surely, 2135596034 is an apocalyptic number.

135596034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135596034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174567744).

135596034 is an abundant number, since it is smaller than the sum of its proper divisors (213539454).

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

135596034 is a wasteful number, since it uses less digits than its factorization.

135596034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135596034 is about 11644.5710097023. The cubic root of 135596034 is about 513.7466414258.

The spelling of 135596034 in words is "one hundred thirty-five million, five hundred ninety-six thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 658 846 882 987 1974 2303 2961 3271 4606 5922 6542 6909 9813 13818 19626 20727 22897 29439 41454 45794 58878 68691 137382 153737 160279 206073 307474 320558 412146 461211 480837 922422 961674 1076159 1383633 1442511 2152318 2767266 2885022 3228477 6456954 7533113 9685431 15066226 19370862 22599339 45198678 67798017 135596034