Search a number
-
+
136834542 = 233131910259
BaseRepresentation
bin10000010011111…
…10110111101110
3100112110220201000
420021332313232
5240012201132
621324501130
73251034345
oct1011766756
9315426630
10136834542
117026a8a9
12399aa7a6
132246c5b0
141425cb5c
15c02d87c
hex827edee

136834542 has 64 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 39883104.

The previous prime is 136834517. The next prime is 136834559. The reversal of 136834542 is 245438631.

136834542 is a `hidden beast` number, since 1 + 36 + 83 + 4 + 542 = 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 junction number, because it is equal to n+sod(n) for n = 136834497 and 136834506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8209 + ... + 18467.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2136834542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136834542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

136834542 is an abundant number, since it is smaller than the sum of its proper divisors (207901458).

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

136834542 is a wasteful number, since it uses less digits than its factorization.

136834542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10296 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 136834542 is about 11697.6297599129. The cubic root of 136834542 is about 515.3060574348.

It can be divided in two parts, 13683 and 4542, that added together give a square (18225 = 1352).

The spelling of 136834542 in words is "one hundred thirty-six million, eight hundred thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 10259 13338 20518 30777 61554 92331 133367 184662 194921 266734 276993 389842 400101 553986 584763 800202 1169526 1200303 1754289 2400606 2533973 3508578 3600909 5067946 5262867 7201818 7601919 10525734 15203838 22805757 45611514 68417271 136834542