Search a number
-
+
1006944 = 25317617
BaseRepresentation
bin11110101110101100000
31220011021020
43311311200
5224210234
633325440
711362461
oct3656540
91804236
101006944
11628594
12406880
13293433
141c2d68
1514d549
hexf5d60

1006944 has 48 divisors (see below), whose sum is σ = 2803248. Its totient is φ = 315392.

The previous prime is 1006937. The next prime is 1006949. The reversal of 1006944 is 4496001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006949) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 1940.

It is an arithmetic number, because the mean of its divisors is an integer number (58401).

21006944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401624).

1006944 is an abundant number, since it is smaller than the sum of its proper divisors (1796304).

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

1006944 is a wasteful number, since it uses less digits than its factorization.

1006944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1006944 is about 1003.4659934447. The cubic root of 1006944 is about 100.2309329558.

The spelling of 1006944 in words is "one million, six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 617 816 1234 1632 1851 2468 3702 4936 7404 9872 10489 14808 19744 20978 29616 31467 41956 59232 62934 83912 125868 167824 251736 335648 503472 1006944