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293072 = 24131409
BaseRepresentation
bin1000111100011010000
3112220000112
41013203100
533334242
610140452
72330303
oct1074320
9486015
10293072
1119020a
12121728
13a3520
1478b3a
155bc82
hex478d0

293072 has 20 divisors (see below), whose sum is σ = 611940. Its totient is φ = 135168.

The previous prime is 293071. The next prime is 293081. The reversal of 293072 is 270392.

293072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 274576 = 136^2 + 524^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293072.

It is not an unprimeable number, because it can be changed into a prime (293071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 497 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (30597).

2293072 is an apocalyptic number.

It is an amenable number.

293072 is an abundant number, since it is smaller than the sum of its proper divisors (318868).

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

293072 is a wasteful number, since it uses less digits than its factorization.

293072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 293072 is about 541.3612472278. The cubic root of 293072 is about 66.4239619329.

The spelling of 293072 in words is "two hundred ninety-three thousand, seventy-two".