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2104430000 = 24541712379
BaseRepresentation
bin111110101101111…
…0000110110110000
312102122212010020212
41331123300312300
513302213230000
6544453123252
7103102234301
oct17533606660
95378763225
102104430000
1198a994452
124a8929528
13276cac36a
1415d6c07a8
15c4b3ec35
hex7d6f0db0

2104430000 has 100 divisors (see below), whose sum is σ = 5395179240. Its totient is φ = 792192000.

The previous prime is 2104429991. The next prime is 2104430021. The reversal of 2104430000 is 344012.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163811 + ... + 176189.

Almost surely, 22104430000 is an apocalyptic number.

2104430000 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 2104430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697589620).

2104430000 is an abundant number, since it is smaller than the sum of its proper divisors (3290749240).

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

2104430000 is a wasteful number, since it uses less digits than its factorization.

2104430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2104430000 is about 45874.0667480004. The cubic root of 2104430000 is about 1281.4790032865.

Adding to 2104430000 its reverse (344012), we get a palindrome (2104774012).

The spelling of 2104430000 in words is "two billion, one hundred four million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 12379 17000 21250 24758 34000 42500 49516 61895 85000 99032 123790 170000 198064 210443 247580 309475 420886 495160 618950 841772 990320 1052215 1237900 1547375 1683544 2104430 2475800 3094750 3367088 4208860 4951600 5261075 6189500 7736875 8417720 10522150 12379000 15473750 16835440 21044300 24758000 26305375 30947500 42088600 52610750 61895000 84177200 105221500 123790000 131526875 210443000 263053750 420886000 526107500 1052215000 2104430000