Search a number
-
+
940160 = 27513113
BaseRepresentation
bin11100101100010000000
31202202122202
43211202000
5220041120
632052332
710663664
oct3454200
91682582
10940160
115923a1
123940a8
1326bc10
141a68a4
15138875
hexe5880

940160 has 64 divisors (see below), whose sum is σ = 2441880. Its totient is φ = 344064.

The previous prime is 940157. The next prime is 940169. The reversal of 940160 is 61049.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 652864 = 536^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (940169) 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, 8264 + ... + 8376.

2940160 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 940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220940).

940160 is an abundant number, since it is smaller than the sum of its proper divisors (1501720).

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

940160 is a wasteful number, since it uses less digits than its factorization.

940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 940160 is about 969.6184816720. The cubic root of 940160 is about 97.9641684916.

The spelling of 940160 in words is "nine hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 113 128 130 160 208 226 260 320 416 452 520 565 640 832 904 1040 1130 1469 1664 1808 2080 2260 2938 3616 4160 4520 5876 7232 7345 8320 9040 11752 14464 14690 18080 23504 29380 36160 47008 58760 72320 94016 117520 188032 235040 470080 940160