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293020 = 225721323
BaseRepresentation
bin1000111100010011100
3112212221121
41013202130
533334040
610140324
72330200
oct1074234
9485847
10293020
11190172
121216a4
13a34b0
1478b00
155bc4a
hex4789c

293020 has 72 divisors (see below), whose sum is σ = 804384. Its totient is φ = 88704.

The previous prime is 292993. The next prime is 293021. The reversal of 293020 is 20392.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 292985 and 293003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12729 + ... + 12751.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2293020 is an apocalyptic number.

293020 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 293020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192).

293020 is an abundant number, since it is smaller than the sum of its proper divisors (511364).

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

293020 is a wasteful number, since it uses less digits than its factorization.

293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 293020 is about 541.3132180171. The cubic root of 293020 is about 66.4200331482.

The spelling of 293020 in words is "two hundred ninety-three thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 49 52 65 70 91 92 98 115 130 140 161 182 196 230 245 260 299 322 364 455 460 490 598 637 644 805 910 980 1127 1196 1274 1495 1610 1820 2093 2254 2548 2990 3185 3220 4186 4508 5635 5980 6370 8372 10465 11270 12740 14651 20930 22540 29302 41860 58604 73255 146510 293020