Search a number
-
+
2160000 = 273354
BaseRepresentation
bin1000001111010110000000
311001201222000
420033112000
51023110000
6114144000
724234243
oct10172600
94051860
102160000
111245927
12882000
135a820b
1440325a
152ca000
hex20f580

2160000 has 160 divisors (see below), whose sum is σ = 7966200. Its totient is φ = 576000.

The previous prime is 2159959. The next prime is 2160001. The reversal of 2160000 is 612.

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 is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2160001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 431998 + ... + 432002.

22160000 is an apocalyptic number.

2160000 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 2160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983100).

2160000 is an abundant number, since it is smaller than the sum of its proper divisors (5806200).

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

2160000 is an frugal number, since it uses more digits than its factorization.

2160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2160000 is about 1469.6938456699. The cubic root of 2160000 is about 129.2660814019.

Adding to 2160000 its reverse (612), we get a palindrome (2160612).

The spelling of 2160000 in words is "two million, one hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 384 400 432 450 480 500 540 576 600 625 640 675 720 750 800 864 900 960 1000 1080 1125 1152 1200 1250 1350 1440 1500 1600 1728 1800 1875 1920 2000 2160 2250 2400 2500 2700 2880 3000 3200 3375 3456 3600 3750 4000 4320 4500 4800 5000 5400 5625 5760 6000 6750 7200 7500 8000 8640 9000 9600 10000 10800 11250 12000 13500 14400 15000 16000 16875 17280 18000 20000 21600 22500 24000 27000 28800 30000 33750 36000 40000 43200 45000 48000 54000 60000 67500 72000 80000 86400 90000 108000 120000 135000 144000 180000 216000 240000 270000 360000 432000 540000 720000 1080000 2160000