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683040 = 25351423
BaseRepresentation
bin10100110110000100000
31021200221210
42212300200
5133324130
622350120
75543241
oct2466040
91250853
10683040
114271a6
1228b340
131abb87
1413acc8
15d75b0
hexa6c20

683040 has 48 divisors (see below), whose sum is σ = 2153088. Its totient is φ = 182016.

The previous prime is 683021. The next prime is 683041. The reversal of 683040 is 40386.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 682998 and 683016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683041) by changing a digit.

683040 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (44856).

2683040 is an apocalyptic number.

683040 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 683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076544).

683040 is an abundant number, since it is smaller than the sum of its proper divisors (1470048).

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

683040 is a wasteful number, since it uses less digits than its factorization.

683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

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

The square root of 683040 is about 826.4623403398. The cubic root of 683040 is about 88.0674414140.

The spelling of 683040 in words is "six hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1423 2846 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 42690 45536 56920 68304 85380 113840 136608 170760 227680 341520 683040