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1690000 = 2454132
BaseRepresentation
bin110011100100110010000
310011212020121
412130212100
5413040000
6100120024
720236054
oct6344620
93155217
101690000
11a547a4
12696014
13472300
1431dc64
15235b1a
hex19c990

1690000 has 75 divisors (see below), whose sum is σ = 4430613. Its totient is φ = 624000.

The previous prime is 1689967. The next prime is 1690009. The reversal of 1690000 is 961.

1690000 = T241 + T242 + ... + T288.

The square root of 1690000 is 1300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1669264 + 20736 = 1292^2 + 144^2 .

It is a super-2 number, since 2×16900002 = 5712200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1690009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129994 + ... + 130006.

21690000 is an apocalyptic number.

1690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1690000 is the 1300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690000

1690000 is an abundant number, since it is smaller than the sum of its proper divisors (2740613).

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

1690000 is an equidigital number, since it uses as much as digits as its factorization.

1690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 1690000 is about 119.1138425196.

Multiplying 1690000 by its sum of digits (16), we get a square (27040000 = 52002).

1690000 divided by its sum of digits (16) gives a square (105625 = 3252).

Adding to 1690000 its reverse (961), we get a palindrome (1690961).

Multiplying 1690000 by its reverse (961), we get a square (1624090000 = 403002).

It can be divided in two parts, 16 and 90000, that multiplied together give a square (1440000 = 12002).

The spelling of 1690000 in words is "one million, six hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 169 200 208 250 260 325 338 400 500 520 625 650 676 845 1000 1040 1250 1300 1352 1625 1690 2000 2500 2600 2704 3250 3380 4225 5000 5200 6500 6760 8125 8450 10000 13000 13520 16250 16900 21125 26000 32500 33800 42250 65000 67600 84500 105625 130000 169000 211250 338000 422500 845000 1690000