Search a number
-
+
2109341184 = 2933121429
BaseRepresentation
bin111110110111001…
…1111111000000000
312110000002122010120
41331232133320000
513304442404214
6545150300240
7103162050516
oct17556377000
95400078116
102109341184
11992739285
124aa4b7680
1327800b8a2
141601dc4b6
15c52aeea9
hex7db9fe00

2109341184 has 120 divisors (see below), whose sum is σ = 5810599080. Its totient is φ = 679956480.

The previous prime is 2109341149. The next prime is 2109341189. The reversal of 2109341184 is 4811439012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109341189) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475382 + ... + 1476810.

It is an arithmetic number, because the mean of its divisors is an integer number (48421659).

Almost surely, 22109341184 is an apocalyptic number.

2109341184 is a gapful number since it is divisible by the number (24) 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 2109341184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905299540).

2109341184 is an abundant number, since it is smaller than the sum of its proper divisors (3701257896).

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

2109341184 is an equidigital number, since it uses as much as digits as its factorization.

2109341184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2109341184 is about 45927.5645337307. The cubic root of 2109341184 is about 1282.4751066913.

The spelling of 2109341184 in words is "two billion, one hundred nine million, three hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1429 1488 1536 1922 1984 2858 2883 2976 3844 3968 4287 5716 5766 5952 7688 7936 8574 11432 11532 11904 15376 15872 17148 22864 23064 23808 30752 34296 44299 45728 46128 47616 61504 68592 88598 91456 92256 123008 132897 137184 177196 182912 184512 246016 265794 274368 354392 365824 369024 492032 531588 548736 708784 731648 738048 1063176 1097472 1373269 1417568 1476096 2126352 2194944 2746538 2835136 4119807 4252704 5493076 5670272 8239614 8505408 10986152 11340544 16479228 17010816 21972304 22681088 32958456 34021632 43944608 65916912 68043264 87889216 131833824 175778432 263667648 351556864 527335296 703113728 1054670592 2109341184