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2880000 = 293254
BaseRepresentation
bin1010111111001000000000
312102022121200
422333020000
51214130000
6141421200
733323334
oct12771000
95368550
102880000
111697872
12b6a800
1379ab56
1454d7c4
153bd500
hex2bf200

2880000 has 150 divisors (see below), whose sum is σ = 10386519. Its totient is φ = 768000.

The previous prime is 2879999. The next prime is 2880029. The reversal of 2880000 is 882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 665856 + 2214144 = 816^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1200.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 575998 + ... + 576002.

22880000 is an apocalyptic number.

2880000 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 2880000

2880000 is an abundant number, since it is smaller than the sum of its proper divisors (7506519).

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

2880000 is an frugal number, since it uses more digits than its factorization.

2880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2880000 is about 1697.0562748477. The cubic root of 2880000 is about 142.2757321796.

Multiplying 2880000 by its sum of digits (18), we get a square (51840000 = 72002).

2880000 divided by its sum of digits (18) gives a 4-th power (160000 = 204).

Multiplying 2880000 by its product of nonzero digits (128), we get a square (368640000 = 192002).

2880000 divided by its product of nonzero digits (128) gives a square (22500 = 1502).

Adding to 2880000 its reverse (882), we get a palindrome (2880882).

Multiplying 2880000 by its reverse (882), we get a square (2540160000 = 504002).

The spelling of 2880000 in words is "two million, eight hundred eighty thousand".

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 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 625 640 720 750 768 800 900 960 1000 1125 1152 1200 1250 1280 1440 1500 1536 1600 1800 1875 1920 2000 2250 2304 2400 2500 2560 2880 3000 3200 3600 3750 3840 4000 4500 4608 4800 5000 5625 5760 6000 6400 7200 7500 7680 8000 9000 9600 10000 11250 11520 12000 12800 14400 15000 16000 18000 19200 20000 22500 23040 24000 28800 30000 32000 36000 38400 40000 45000 48000 57600 60000 64000 72000 80000 90000 96000 115200 120000 144000 160000 180000 192000 240000 288000 320000 360000 480000 576000 720000 960000 1440000 2880000