Search a number
-
+
5940960 = 253512377
BaseRepresentation
bin10110101010011011100000
3102011211110120
4112222123200
53010102320
6331200240
7101332404
oct26523340
912154416
105940960
113398593
121ba6080
13130017c
14b09104
157c5440
hex5aa6e0

5940960 has 48 divisors (see below), whose sum is σ = 18715536. Its totient is φ = 1584128.

The previous prime is 5940953. The next prime is 5940983. The reversal of 5940960 is 690495.

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 an unprimeable number.

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, 5709 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (389907).

Almost surely, 25940960 is an apocalyptic number.

It is an amenable number.

5940960 is an abundant number, since it is smaller than the sum of its proper divisors (12774576).

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

5940960 is a wasteful number, since it uses less digits than its factorization.

5940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12395 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 5940960 is about 2437.4084598196. The cubic root of 5940960 is about 181.1140780402.

The spelling of 5940960 in words is "five million, nine hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 12377 24754 37131 49508 61885 74262 99016 123770 148524 185655 198032 247540 297048 371310 396064 495080 594096 742620 990160 1188192 1485240 1980320 2970480 5940960