Search a number
296000 = 265337
BaseRepresentation
bin1001000010001000000
3120001000222
41020101000
533433000
610202212
72341655
oct1102100
9501028
10296000
11192431
12123368
13a4963
1479c2c
155ca85
hex48440

296000 has 56 divisors (see below), whose sum is σ = 752856. Its totient is φ = 115200.

The previous prime is 295993. The next prime is 296011. The reversal of 296000 is 692.

Adding to 296000 its reverse (692), we get a palindrome (296692).

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 295936 = 8^2 + 544^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 296000.

It is an unprimeable number.

296000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7982 + ... + 8018.

2296000 is an apocalyptic number.

296000 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 296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376428).

296000 is an abundant number, since it is smaller than the sum of its proper divisors (456856).

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

296000 is an equidigital number, since it uses as much as digits as its factorization.

296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 296000 is about 544.0588203494. The cubic root of 296000 is about 66.6444370329.

The spelling of 296000 in words is "two hundred ninety-six thousand".