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682290 = 23357192
BaseRepresentation
bin10100110100100110010
31021122221000
42212210302
5133313130
622342430
75541120
oct2464462
91248830
10682290
11426684
1228aa16
131ab72b
1413a910
15d7260
hexa6932

682290 has 96 divisors (see below), whose sum is σ = 2194560. Its totient is φ = 147744.

The previous prime is 682289. The next prime is 682291. The reversal of 682290 is 92286.

It is an interprime number because it is at equal distance from previous prime (682289) and next prime (682291).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35901 + ... + 35919.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2682290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097280).

682290 is an abundant number, since it is smaller than the sum of its proper divisors (1512270).

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

682290 is a wasteful number, since it uses less digits than its factorization.

682290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 682290 is about 826.0084745328. The cubic root of 682290 is about 88.0351959764.

The spelling of 682290 in words is "six hundred eighty-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 361 378 399 513 570 630 665 722 798 855 945 1026 1083 1197 1330 1710 1805 1890 1995 2166 2394 2527 2565 3249 3591 3610 3990 5054 5130 5415 5985 6498 7182 7581 9747 10830 11970 12635 15162 16245 17955 19494 22743 25270 32490 35910 37905 45486 48735 68229 75810 97470 113715 136458 227430 341145 682290