Search a number
-
+
1066720 = 25559113
BaseRepresentation
bin100000100011011100000
32000012021011
410010123200
5233113340
634510304
712031654
oct4043340
92005234
101066720
11669496
12435394
132b46c5
141daa64
151610ea
hex1046e0

1066720 has 48 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 415744.

The previous prime is 1066693. The next prime is 1066721. The reversal of 1066720 is 276601.

It is a super-2 number, since 2×10667202 = 2275783116800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066691 and 1066700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9384 + ... + 9496.

It is an arithmetic number, because the mean of its divisors is an integer number (53865).

21066720 is an apocalyptic number.

1066720 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 1066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292760).

1066720 is an abundant number, since it is smaller than the sum of its proper divisors (1518800).

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

1066720 is a wasteful number, since it uses less digits than its factorization.

1066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1066720 is about 1032.8213785549. The cubic root of 1066720 is about 102.1762938673.

The spelling of 1066720 in words is "one million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 113 118 160 226 236 295 452 472 565 590 904 944 1130 1180 1808 1888 2260 2360 3616 4520 4720 6667 9040 9440 13334 18080 26668 33335 53336 66670 106672 133340 213344 266680 533360 1066720