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680430 = 23537613
BaseRepresentation
bin10100110000111101110
31021120101010
42212013232
5133233210
622330050
75532522
oct2460756
91246333
10680430
11425243
12289926
131aa92a
14139d82
15d6920
hexa61ee

680430 has 32 divisors (see below), whose sum is σ = 1679904. Its totient is φ = 176256.

The previous prime is 680417. The next prime is 680431. The reversal of 680430 is 34086.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 680397 and 680406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680431) by changing a digit.

680430 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 15 ways as a sum of consecutive naturals, for example, 804 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (52497).

2680430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839952).

680430 is an abundant number, since it is smaller than the sum of its proper divisors (999474).

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

680430 is a wasteful number, since it uses less digits than its factorization.

680430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

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

The square root of 680430 is about 824.8818097158. The cubic root of 680430 is about 87.9551251920.

The spelling of 680430 in words is "six hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 613 1110 1226 1839 3065 3678 6130 9195 18390 22681 45362 68043 113405 136086 226810 340215 680430