Search a number
-
+
2013621204 = 223723792167
BaseRepresentation
bin111100000000101…
…0110101111010100
312012022222120000010
41320001112233110
513110441334304
6531450520220
7100620332520
oct17001265724
95168876003
102013621204
11943700461
12482436070
1326123624a
14151602d80
15bbba3789
hex78056bd4

2013621204 has 144 divisors (see below), whose sum is σ = 5708924928. Its totient is φ = 540086976.

The previous prime is 2013621193. The next prime is 2013621223. The reversal of 2013621204 is 4021263102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12057529 + ... + 12057695.

It is an arithmetic number, because the mean of its divisors is an integer number (39645312).

Almost surely, 22013621204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013621204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854462464).

2013621204 is an abundant number, since it is smaller than the sum of its proper divisors (3695303724).

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

2013621204 is a wasteful number, since it uses less digits than its factorization.

2013621204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2013621204 is about 44873.3908235159. The cubic root of 2013621204 is about 1262.7748545651.

Adding to 2013621204 its reverse (4021263102), we get a palindrome (6034884306).

It can be divided in two parts, 201362 and 1204, that added together give a triangular number (202566 = T636).

The spelling of 2013621204 in words is "two billion, thirteen million, six hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 79 84 92 138 158 161 167 237 276 316 322 334 474 483 501 553 644 668 948 966 1002 1106 1169 1659 1817 1932 2004 2212 2338 3318 3507 3634 3841 4676 5451 6241 6636 7014 7268 7682 10902 11523 12482 12719 13193 14028 15364 18723 21804 23046 24964 25438 26386 26887 37446 38157 39579 43687 46092 50876 52772 53774 74892 76314 79158 80661 87374 92351 107548 131061 143543 152628 158316 161322 174748 184702 262122 277053 287086 303439 322644 369404 430629 524244 554106 574172 606878 861258 910317 1004801 1042247 1108212 1213756 1722516 1820634 2009602 2084494 2124073 3014403 3126741 3641268 4019204 4168988 4248146 6028806 6253482 6372219 7295729 8496292 12057612 12506964 12744438 14591458 21887187 23971681 25488876 29182916 43774374 47943362 71915043 87548748 95886724 143830086 167801767 287660172 335603534 503405301 671207068 1006810602 2013621204