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193280 = 285151
BaseRepresentation
bin101111001100000000
3100211010112
4233030000
522141110
64050452
71433333
oct571400
9324115
10193280
1112223a
1293a28
1369c89
145061a
153c405
hex2f300

193280 has 36 divisors (see below), whose sum is σ = 466032. Its totient is φ = 76800.

The previous prime is 193261. The next prime is 193283. The reversal of 193280 is 82391.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (193283) by changing a digit.

193280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1205 + ... + 1355.

2193280 is an apocalyptic number.

193280 is a gapful number since it is divisible by the number (10) 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 193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233016).

193280 is an abundant number, since it is smaller than the sum of its proper divisors (272752).

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

193280 is an equidigital number, since it uses as much as digits as its factorization.

193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 193280 is about 439.6362132491. The cubic root of 193280 is about 57.8178989358.

Subtracting from 193280 its reverse (82391), we obtain a square (110889 = 3332).

The spelling of 193280 in words is "one hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 256 302 320 604 640 755 1208 1280 1510 2416 3020 4832 6040 9664 12080 19328 24160 38656 48320 96640 193280