Search a number
-
+
2081404800 = 27325272271
BaseRepresentation
bin111110000001111…
…1011011110000000
312101001112022121200
41330003323132000
513230314423200
6542311421200
7102402435366
oct17403733600
95331468550
102081404800
11978998262
124a1084800
132722a9c97
1415a609636
15c2ae2800
hex7c0fb780

2081404800 has 144 divisors (see below), whose sum is σ = 7427032080. Its totient is φ = 555033600.

The previous prime is 2081404789. The next prime is 2081404909. The reversal of 2081404800 is 84041802.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7336 + ... + 64935.

Almost surely, 22081404800 is an apocalyptic number.

2081404800 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 2081404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713516040).

2081404800 is an abundant number, since it is smaller than the sum of its proper divisors (5345627280).

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

2081404800 is a wasteful number, since it uses less digits than its factorization.

2081404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72301 (or 72281 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2081404800 is about 45622.4155432393. The cubic root of 2081404800 is about 1276.7881714471.

The spelling of 2081404800 in words is "two billion, eighty-one million, four hundred four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 72271 144542 216813 289084 361355 433626 578168 650439 722710 867252 1084065 1156336 1300878 1445420 1734504 1806775 2168130 2312672 2601756 2890840 3252195 3469008 3613550 4336260 4625344 5203512 5420325 5781680 6504390 6938016 7227100 8672520 9250688 10407024 10840650 11563360 13008780 13876032 14454200 16260975 17345040 20814048 21681300 23126720 26017560 27752064 28908400 32521950 34690080 41628096 43362600 46253440 52035120 57816800 65043900 69380160 83256192 86725200 104070240 115633600 130087800 138760320 173450400 208140480 231267200 260175600 346900800 416280960 520351200 693801600 1040702400 2081404800