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830560 = 25529179
BaseRepresentation
bin11001010110001100000
31120012022111
43022301200
5203034220
625445104
710026313
oct3126140
91505274
10830560
11518015
12340794
13231073
1417897a
1511615a
hexcac60

830560 has 48 divisors (see below), whose sum is σ = 2041200. Its totient is φ = 318976.

The previous prime is 830551. The next prime is 830561. The reversal of 830560 is 65038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830561) by changing a digit.

830560 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, 4551 + ... + 4729.

It is an arithmetic number, because the mean of its divisors is an integer number (42525).

2830560 is an apocalyptic number.

830560 is a gapful number since it is divisible by the number (80) 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 830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020600).

830560 is an abundant number, since it is smaller than the sum of its proper divisors (1210640).

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

830560 is a wasteful number, since it uses less digits than its factorization.

830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 830560 is about 911.3506460194. The cubic root of 830560 is about 93.9990946042. Note that the first 3 decimals are identical.

Adding to 830560 its reverse (65038), we get a palindrome (895598).

The spelling of 830560 in words is "eight hundred thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 179 232 290 358 464 580 716 895 928 1160 1432 1790 2320 2864 3580 4640 5191 5728 7160 10382 14320 20764 25955 28640 41528 51910 83056 103820 166112 207640 415280 830560