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2104501440 = 26359672267
BaseRepresentation
bin111110101110000…
…0010010011000000
312102122222202020210
41331130002103000
513302223021230
6544454434120
7103102652466
oct17534022300
95378882223
102104501440
1198aa33098
124a8962940
13277005a32
1415d6dc836
15c4b55eb0
hex7d7024c0

2104501440 has 112 divisors (see below), whose sum is σ = 6691652352. Its totient is φ = 560372736.

The previous prime is 2104501397. The next prime is 2104501453. The reversal of 2104501440 is 441054012.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927187 + ... + 929453.

It is an arithmetic number, because the mean of its divisors is an integer number (59746896).

Almost surely, 22104501440 is an apocalyptic number.

2104501440 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 2104501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345826176).

2104501440 is an abundant number, since it is smaller than the sum of its proper divisors (4587150912).

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

2104501440 is a wasteful number, since it uses less digits than its factorization.

2104501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2104501440 is about 45874.8453948348. The cubic root of 2104501440 is about 1281.4935040974.

Adding to 2104501440 its reverse (441054012), we get a palindrome (2545555452).

The spelling of 2104501440 in words is "two billion, one hundred four million, five hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 967 1934 2267 2901 3868 4534 4835 5802 6801 7736 9068 9670 11335 11604 13602 14505 15472 18136 19340 22670 23208 27204 29010 30944 34005 36272 38680 45340 46416 54408 58020 61888 68010 72544 77360 90680 92832 108816 116040 136020 145088 154720 181360 185664 217632 232080 272040 309440 362720 435264 464160 544080 725440 928320 1088160 2176320 2192189 4384378 6576567 8768756 10960945 13153134 17537512 21921890 26306268 32882835 35075024 43843780 52612536 65765670 70150048 87687560 105225072 131531340 140300096 175375120 210450144 263062680 350750240 420900288 526125360 701500480 1052250720 2104501440