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295240 = 23511261
BaseRepresentation
bin1001000000101001000
3112222222211
41020011020
533421430
610154504
72336521
oct1100510
9488884
10295240
11191900
12122a34
13a44ca
1479848
155c72a
hex48148

295240 has 48 divisors (see below), whose sum is σ = 742140. Its totient is φ = 105600.

The previous prime is 295237. The next prime is 295247. The reversal of 295240 is 42592.

295240 = T1 + T2 + ... + T120.

It is a happy number.

295240 is nontrivially palindromic in base 3 and base 9.

295240 is a nontrivial binomial coefficient, being equal to C(122, 3).

It can be written as a sum of positive squares in 2 ways, for example, as 256036 + 39204 = 506^2 + 198^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (295247) by changing a digit.

It is the 120-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4810 + ... + 4870.

2295240 is an apocalyptic number.

295240 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 295240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371070).

295240 is an abundant number, since it is smaller than the sum of its proper divisors (446900).

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

295240 is a wasteful number, since it uses less digits than its factorization.

295240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 295240 is about 543.3599175501. The cubic root of 295240 is about 66.5873501151.

It can be divided in two parts, 2952 and 40, that added together give a palindrome (2992).

The spelling of 295240 in words is "two hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 121 122 220 242 244 305 440 484 488 605 610 671 968 1210 1220 1342 2420 2440 2684 3355 4840 5368 6710 7381 13420 14762 26840 29524 36905 59048 73810 147620 295240