Search a number
-
+
20132130 = 23523163179
BaseRepresentation
bin100110011001…
…1000100100010
31101212211002110
41030303010202
520123212010
61555300150
7333056154
oct114630442
941784073
1020132130
1110400627
1268aa656
13422b605
142960ad4
151b7a120
hex1333122

20132130 has 64 divisors (see below), whose sum is σ = 51010560. Its totient is φ = 5075136.

The previous prime is 20132129. The next prime is 20132149. The reversal of 20132130 is 3123102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112381 + ... + 112559.

It is an arithmetic number, because the mean of its divisors is an integer number (797040).

Almost surely, 220132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25505280).

20132130 is an abundant number, since it is smaller than the sum of its proper divisors (30878430).

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

20132130 is a wasteful number, since it uses less digits than its factorization.

20132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20132130 is about 4486.8842195894. The cubic root of 20132130 is about 272.0382101021.

Adding to 20132130 its reverse (3123102), we get a palindrome (23255232).

Subtracting from 20132130 its reverse (3123102), we obtain a triangular number (17009028 = T5832).

The spelling of 20132130 in words is "twenty million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 163 179 230 326 345 358 489 537 690 815 895 978 1074 1630 1790 2445 2685 3749 4117 4890 5370 7498 8234 11247 12351 18745 20585 22494 24702 29177 37490 41170 56235 58354 61755 87531 112470 123510 145885 175062 291770 437655 671071 875310 1342142 2013213 3355355 4026426 6710710 10066065 20132130