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295040 = 275461
BaseRepresentation
bin1001000000010000000
3112222201102
41020002000
533420130
610153532
72336114
oct1100200
9488642
10295040
11191739
121228a8
13a43a5
1479744
155c645
hex48080

295040 has 32 divisors (see below), whose sum is σ = 706860. Its totient is φ = 117760.

The previous prime is 295039. The next prime is 295049. The reversal of 295040 is 40592.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 7744 = 536^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

295040 is a Rhonda number in base 15.

It is not an unprimeable number, because it can be changed into a prime (295049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410 + ... + 870.

2295040 is an apocalyptic number.

295040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353430).

295040 is an abundant number, since it is smaller than the sum of its proper divisors (411820).

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

295040 is an equidigital number, since it uses as much as digits as its factorization.

295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 295040 is about 543.1758462966. The cubic root of 295040 is about 66.5723109625.

The spelling of 295040 in words is "two hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 461 640 922 1844 2305 3688 4610 7376 9220 14752 18440 29504 36880 59008 73760 147520 295040