Search a number
-
+
135989880 = 233513179487
BaseRepresentation
bin10000001101100…
…00101001111000
3100110220000001020
420012300221320
5234303134010
621254422440
73240615645
oct1006605170
9313800036
10135989880
116a843234
1239661a20
1322234cb0
14140bcdcc
15be13470
hex81b0a78

135989880 has 128 divisors (see below), whose sum is σ = 442713600. Its totient is φ = 33219072.

The previous prime is 135989873. The next prime is 135989957. The reversal of 135989880 is 88989531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278997 + ... + 279483.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2135989880 is an apocalyptic number.

135989880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135989880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221356800).

135989880 is an abundant number, since it is smaller than the sum of its proper divisors (306723720).

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

135989880 is a wasteful number, since it uses less digits than its factorization.

135989880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 135989880 is about 11661.4698901982. The cubic root of 135989880 is about 514.2435622419.

The spelling of 135989880 in words is "one hundred thirty-five million, nine hundred eighty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 179 195 260 312 358 390 487 520 537 716 780 895 974 1074 1432 1461 1560 1790 1948 2148 2327 2435 2685 2922 3580 3896 4296 4654 4870 5370 5844 6331 6981 7160 7305 9308 9740 10740 11635 11688 12662 13962 14610 18616 18993 19480 21480 23270 25324 27924 29220 31655 34905 37986 46540 50648 55848 58440 63310 69810 75972 87173 93080 94965 126620 139620 151944 174346 189930 253240 261519 279240 348692 379860 435865 523038 697384 759720 871730 1046076 1133249 1307595 1743460 2092152 2266498 2615190 3399747 3486920 4532996 5230380 5666245 6799494 9065992 10460760 11332490 13598988 16998735 22664980 27197976 33997470 45329960 67994940 135989880