Search a number
-
+
2670000 = 2435489
BaseRepresentation
bin1010001011110110110000
312000122112220
422023312300
51140420000
6133121040
731460154
oct12136660
95018486
102670000
111564013
12a89180
137263a8
144d7064
1537b1a0
hex28bdb0

2670000 has 100 divisors (see below), whose sum is σ = 8715960. Its totient is φ = 704000.

The previous prime is 2669987. The next prime is 2670011. The reversal of 2670000 is 762.

2670000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29956 + ... + 30044.

22670000 is an apocalyptic number.

2670000 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 2670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357980).

2670000 is an abundant number, since it is smaller than the sum of its proper divisors (6045960).

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

2670000 is an equidigital number, since it uses as much as digits as its factorization.

2670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2670000 is about 1634.0134638368. The cubic root of 2670000 is about 138.7300109180.

Adding to 2670000 its reverse (762), we get a palindrome (2670762).

The spelling of 2670000 in words is "two million, six hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 125 150 178 200 240 250 267 300 356 375 400 445 500 534 600 625 712 750 890 1000 1068 1200 1250 1335 1424 1500 1780 1875 2000 2136 2225 2500 2670 3000 3560 3750 4272 4450 5000 5340 6000 6675 7120 7500 8900 10000 10680 11125 13350 15000 17800 21360 22250 26700 30000 33375 35600 44500 53400 55625 66750 89000 106800 111250 133500 166875 178000 222500 267000 333750 445000 534000 667500 890000 1335000 2670000