Search a number
-
+
1066320 = 243251481
BaseRepresentation
bin100000100010101010000
32000011201100
410010111100
5233110240
634504400
712030543
oct4042520
92004640
101066320
11669162
12435100
132b4478
141da85a
15160e30
hex104550

1066320 has 60 divisors (see below), whose sum is σ = 3583476. Its totient is φ = 284160.

The previous prime is 1066319. The next prime is 1066327. The reversal of 1066320 is 236601.

It is a happy number.

1066320 is a `hidden beast` number, since 1 + 0 + 663 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 646416 = 648^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10663202 = 2274076684800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066293 and 1066302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21 + ... + 1460.

21066320 is an apocalyptic number.

1066320 is a gapful number since it is divisible by the number (10) 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 1066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791738).

1066320 is an abundant number, since it is smaller than the sum of its proper divisors (2517156).

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

1066320 is a wasteful number, since it uses less digits than its factorization.

1066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1066320 is about 1032.6277160720. The cubic root of 1066320 is about 102.1635208724.

The spelling of 1066320 in words is "one million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1481 2962 4443 5924 7405 8886 11848 13329 14810 17772 22215 23696 26658 29620 35544 44430 53316 59240 66645 71088 88860 106632 118480 133290 177720 213264 266580 355440 533160 1066320