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293080 = 23517431
BaseRepresentation
bin1000111100011011000
3112220000211
41013203120
533334310
610140504
72330314
oct1074330
9486024
10293080
11190217
12121734
13a3528
1478b44
155bc8a
hex478d8

293080 has 32 divisors (see below), whose sum is σ = 699840. Its totient is φ = 110080.

The previous prime is 293071. The next prime is 293081. The reversal of 293080 is 80392.

293080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293081) by changing a digit.

293080 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, 465 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (21870).

2293080 is an apocalyptic number.

293080 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 293080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920).

293080 is an abundant number, since it is smaller than the sum of its proper divisors (406760).

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

293080 is a wasteful number, since it uses less digits than its factorization.

293080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 293080 is about 541.3686359589. The cubic root of 293080 is about 66.4245663200.

The spelling of 293080 in words is "two hundred ninety-three thousand, eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 431 680 862 1724 2155 3448 4310 7327 8620 14654 17240 29308 36635 58616 73270 146540 293080