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5940192 = 253431439
BaseRepresentation
bin10110101010001111100000
3102011210102010
4112222033200
53010041232
6331152520
7101330226
oct26521740
912153363
105940192
113397a55
121ba5740
1312cca0b
14b08b16
157c50cc
hex5aa3e0

5940192 has 48 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1932672.

The previous prime is 5940169. The next prime is 5940197. The reversal of 5940192 is 2910495.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5940197) 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, 3409 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 25940192 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 5940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5940192 is an abundant number, since it is smaller than the sum of its proper divisors (10026528).

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

5940192 is a wasteful number, since it uses less digits than its factorization.

5940192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 5940192 is about 2437.2509103496. The cubic root of 5940192 is about 181.1062733753.

The spelling of 5940192 in words is "five million, nine hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1439 2064 2878 4128 4317 5756 8634 11512 17268 23024 34536 46048 61877 69072 123754 138144 185631 247508 371262 495016 742524 990032 1485048 1980064 2970096 5940192