Search a number
-
+
135779832 = 23327126561
BaseRepresentation
bin10000001011111…
…01010111111000
3100110111022220200
420011331113320
5234224423312
621250122200
73236052366
oct1005752770
9313438820
10135779832
116a70a441
1239580360
13221904c6
1414066636
15bdc10dc
hex817d5f8

135779832 has 48 divisors (see below), whose sum is σ = 372930480. Its totient is φ = 44620800.

The previous prime is 135779821. The next prime is 135779837. The reversal of 135779832 is 238977531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135779837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8169 + ... + 18392.

It is an arithmetic number, because the mean of its divisors is an integer number (7769385).

Almost surely, 2135779832 is an apocalyptic number.

135779832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135779832 is an abundant number, since it is smaller than the sum of its proper divisors (237150648).

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

135779832 is a wasteful number, since it uses less digits than its factorization.

135779832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26644 (or 26637 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 135779832 is about 11652.4603410610. The cubic root of 135779832 is about 513.9786614204.

It can be divided in two parts, 13577 and 9832, that added together give a square (23409 = 1532).

The spelling of 135779832 in words is "one hundred thirty-five million, seven hundred seventy-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 26561 53122 79683 106244 159366 212488 239049 318732 478098 637464 956196 1885831 1912392 3771662 5657493 7543324 11314986 15086648 16972479 22629972 33944958 45259944 67889916 135779832