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5940936 = 2332109757
BaseRepresentation
bin10110101010011011001000
3102011211102200
4112222123020
53010102221
6331200200
7101332341
oct26523310
912154380
105940936
113398571
121ba6060
131300161
14b090c8
157c5426
hex5aa6c8

5940936 has 48 divisors (see below), whose sum is σ = 16259100. Its totient is φ = 1959552.

The previous prime is 5940931. The next prime is 5940953. The reversal of 5940936 is 6390495.

It can be written as a sum of positive squares in 2 ways, for example, as 5788836 + 152100 = 2406^2 + 390^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5940936.

It is not an unprimeable number, because it can be changed into a prime (5940931) 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 11 ways as a sum of consecutive naturals, for example, 7470 + ... + 8226.

Almost surely, 25940936 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 5940936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129550).

5940936 is an abundant number, since it is smaller than the sum of its proper divisors (10318164).

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

5940936 is a wasteful number, since it uses less digits than its factorization.

5940936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 5940936 is about 2437.4035365528. The cubic root of 5940936 is about 181.1138341546.

The spelling of 5940936 in words is "five million, nine hundred forty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 757 872 981 1308 1514 1962 2271 2616 3028 3924 4542 6056 6813 7848 9084 13626 18168 27252 54504 82513 165026 247539 330052 495078 660104 742617 990156 1485234 1980312 2970468 5940936