Search a number
-
+
2880081000 = 233253320009
BaseRepresentation
bin1010101110101010…
…1000110001101000
321102201101021101200
42223222220301220
521344300043000
61153442044200
7131241166416
oct25352506150
97381337350
102880081000
111248804535
12684649660
1336b8b8454
141d470c2b6
1511cca7500
hexabaa8c68

2880081000 has 96 divisors (see below), whose sum is σ = 9734704200. Its totient is φ = 768019200.

The previous prime is 2880080989. The next prime is 2880081013. The reversal of 2880081000 is 1800882.

It can be written as a sum of positive squares in 4 ways, for example, as 1811183364 + 1068897636 = 42558^2 + 32694^2 .

It is a super-2 number, since 2×28800810002 = 16589733133122000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151005 + ... + 169004.

Almost surely, 22880081000 is an apocalyptic number.

2880081000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2880081000 is an abundant number, since it is smaller than the sum of its proper divisors (6854623200).

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

2880081000 is a wasteful number, since it uses less digits than its factorization.

2880081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320036 (or 320019 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2880081000 is about 53666.3861276311. The cubic root of 2880081000 is about 1422.7706600209.

Adding to 2880081000 its reverse (1800882), we get a palindrome (2881881882).

The spelling of 2880081000 in words is "two billion, eight hundred eighty million, eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 320009 640018 960027 1280036 1600045 1920054 2560072 2880081 3200090 3840108 4800135 5760162 6400180 7680216 8000225 9600270 11520324 12800360 14400405 16000450 19200540 23040648 24000675 28800810 32000900 38401080 40001125 48001350 57601620 64001800 72002025 80002250 96002700 115203240 120003375 144004050 160004500 192005400 240006750 288008100 320009000 360010125 480013500 576016200 720020250 960027000 1440040500 2880081000