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683220 = 223559193
BaseRepresentation
bin10100110110011010100
31021201012110
42212303110
5133330340
622351020
75543616
oct2466324
91251173
10683220
1142734a
1228b470
131abc95
1413adb6
15d7680
hexa6cd4

683220 has 48 divisors (see below), whose sum is σ = 1955520. Its totient is φ = 178176.

The previous prime is 683201. The next prime is 683231. The reversal of 683220 is 22386.

683220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

683220 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 15 ways as a sum of consecutive naturals, for example, 3444 + ... + 3636.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

2683220 is an apocalyptic number.

683220 is a gapful number since it is divisible by the number (60) 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 683220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977760).

683220 is an abundant number, since it is smaller than the sum of its proper divisors (1272300).

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

683220 is a wasteful number, since it uses less digits than its factorization.

683220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 683220 is about 826.5712310503. The cubic root of 683220 is about 88.0751768064.

It can be divided in two parts, 683 and 220, that added together give a triangular number (903 = T42).

The spelling of 683220 in words is "six hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 193 236 295 354 386 579 590 708 772 885 965 1158 1180 1770 1930 2316 2895 3540 3860 5790 11387 11580 22774 34161 45548 56935 68322 113870 136644 170805 227740 341610 683220