Search a number
-
+
136664460 = 223251136719
BaseRepresentation
bin10000010010101…
…01010110001100
3100112011021101200
420021111112030
5234441230320
621321105500
73246425442
oct1011252614
9315137350
10136664460
1170164039
1239928290
132241005a
1414216b92
15bee8290
hex825558c

136664460 has 72 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 36115968.

The previous prime is 136664453. The next prime is 136664491. The reversal of 136664460 is 64466631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16981 + ... + 23699.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2136664460 is an apocalyptic number.

136664460 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 136664460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

136664460 is an abundant number, since it is smaller than the sum of its proper divisors (281615220).

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

136664460 is a wasteful number, since it uses less digits than its factorization.

136664460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 136664460 is about 11690.3575651047. The cubic root of 136664460 is about 515.0924646243.

The spelling of 136664460 in words is "one hundred thirty-six million, six hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6719 6780 10170 13438 20157 20340 26876 33595 40314 60471 67190 80628 100785 120942 134380 201570 241884 302355 403140 604710 759247 1209420 1518494 2277741 3036988 3796235 4555482 6833223 7592470 9110964 11388705 13666446 15184940 22777410 27332892 34166115 45554820 68332230 136664460