Search a number
-
+
135058806 = 23323372939
BaseRepresentation
bin10000000110011…
…01010101110110
3100102010200212000
420003031111312
5234033340211
621222440130
73226660311
oct1003152566
9312120760
10135058806
116a267753
1239293046
1321c9a26c
1413d19978
15bccc656
hex80cd576

135058806 has 64 divisors (see below), whose sum is σ = 321753600. Its totient is φ = 41884128.

The previous prime is 135058793. The next prime is 135058811. The reversal of 135058806 is 608850531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44485 + ... + 47423.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2135058806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135058806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

135058806 is an abundant number, since it is smaller than the sum of its proper divisors (186694794).

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

135058806 is a wasteful number, since it uses less digits than its factorization.

135058806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 135058806 is about 11621.4803704175. The cubic root of 135058806 is about 513.0672597424.

It can be divided in two parts, 1350 and 58806, that multiplied together give a square (79388100 = 89102).

The spelling of 135058806 in words is "one hundred thirty-five million, fifty-eight thousand, eight hundred six".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 111 138 207 222 333 414 621 666 851 999 1242 1702 1998 2553 2939 5106 5878 7659 8817 15318 17634 22977 26451 45954 52902 67597 79353 108743 135194 158706 202791 217486 326229 405582 608373 652458 978687 1216746 1825119 1957374 2501089 2936061 3650238 5002178 5872122 7503267 15006534 22509801 45019602 67529403 135058806