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683730 = 232571107
BaseRepresentation
bin10100110111011010010
31021201220100
42212323102
5133334410
622353230
75545245
oct2467322
91251810
10683730
11427773
1228b816
131ac298
1413b25c
15d78c0
hexa6ed2

683730 has 48 divisors (see below), whose sum is σ = 1819584. Its totient is φ = 178080.

The previous prime is 683719. The next prime is 683731. The reversal of 683730 is 37386.

It is a happy number.

It is a super-3 number, since 3×6837303 = 958904070633351000, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 683694 and 683703.

It is not an unprimeable number, because it can be changed into a prime (683731) by changing a digit.

683730 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6337 + ... + 6443.

It is an arithmetic number, because the mean of its divisors is an integer number (37908).

2683730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792).

683730 is an abundant number, since it is smaller than the sum of its proper divisors (1135854).

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

683730 is a wasteful number, since it uses less digits than its factorization.

683730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 683730 is about 826.8796768575. The cubic root of 683730 is about 88.0970863758.

The spelling of 683730 in words is "six hundred eighty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 107 142 213 214 321 355 426 535 639 642 710 963 1065 1070 1278 1605 1926 2130 3195 3210 4815 6390 7597 9630 15194 22791 37985 45582 68373 75970 113955 136746 227910 341865 683730