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2104372880 = 245172935281
BaseRepresentation
bin111110101101110…
…0010111010010000
312102122202012220022
41331123202322100
513302204413010
6544452003012
7103101605621
oct17533427220
95378665808
102104372880
1198a955545
124a8900468
13276c8c36c
1415d6a7a48
15c4b2cd55
hex7d6e2e90

2104372880 has 80 divisors (see below), whose sum is σ = 5199135984. Its totient is φ = 789381120.

The previous prime is 2104372861. The next prime is 2104372903. The reversal of 2104372880 is 882734012.

It can be written as a sum of positive squares in 8 ways, for example, as 44302336 + 2060070544 = 6656^2 + 45388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2104372880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395840 + ... + 401120.

Almost surely, 22104372880 is an apocalyptic number.

2104372880 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 2104372880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599567992).

2104372880 is an abundant number, since it is smaller than the sum of its proper divisors (3094763104).

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

2104372880 is a wasteful number, since it uses less digits than its factorization.

2104372880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2104372880 is about 45873.4441698026. Note that the first 3 decimals coincide. The cubic root of 2104372880 is about 1281.4674088971.

The spelling of 2104372880 in words is "two billion, one hundred four million, three hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 293 340 586 680 1172 1360 1465 2344 2930 4688 4981 5281 5860 9962 10562 11720 19924 21124 23440 24905 26405 39848 42248 49810 52810 79696 84496 89777 99620 105620 179554 199240 211240 359108 398480 422480 448885 718216 897770 1436432 1547333 1795540 3094666 3591080 6189332 7182160 7736665 12378664 15473330 24757328 26304661 30946660 52609322 61893320 105218644 123786640 131523305 210437288 263046610 420874576 526093220 1052186440 2104372880