Search a number
-
+
20130780 = 22353179137
BaseRepresentation
bin100110011001…
…0101111011100
31101212202020110
41030302233130
520123141110
61555250020
7333052215
oct114625734
941782213
1020130780
11103aa60a
1268a9910
13422ab07
14296040c
151b79a20
hex1332bdc

20130780 has 96 divisors (see below), whose sum is σ = 59351040. Its totient is φ = 5091840.

The previous prime is 20130779. The next prime is 20130791. The reversal of 20130780 is 8703102.

It is a congruent 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, 146872 + ... + 147008.

It is an arithmetic number, because the mean of its divisors is an integer number (618240).

Almost surely, 220130780 is an apocalyptic number.

20130780 is a gapful number since it is divisible by the number (20) 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 20130780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29675520).

20130780 is an abundant number, since it is smaller than the sum of its proper divisors (39220260).

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

20130780 is a wasteful number, since it uses less digits than its factorization.

20130780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20130780 is about 4486.7337785966. The cubic root of 20130780 is about 272.0321292785.

Adding to 20130780 its reverse (8703102), we get a palindrome (28833882).

It can be divided in two parts, 20130 and 780, that added together give a triangular number (20910 = T204).

The spelling of 20130780 in words is "twenty million, one hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 137 155 158 186 237 274 310 316 372 395 411 465 474 548 620 685 790 822 930 948 1185 1370 1580 1644 1860 2055 2370 2449 2740 4110 4247 4740 4898 7347 8220 8494 9796 10823 12245 12741 14694 16988 21235 21646 24490 25482 29388 32469 36735 42470 43292 48980 50964 54115 63705 64938 73470 84940 108230 127410 129876 146940 162345 216460 254820 324690 335513 649380 671026 1006539 1342052 1677565 2013078 3355130 4026156 5032695 6710260 10065390 20130780