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682480 = 24519449
BaseRepresentation
bin10100110100111110000
31021200012001
42212213300
5133314410
622343344
75541511
oct2464760
91250161
10682480
11426837
1228ab54
131ab846
1413aa08
15d733a
hexa69f0

682480 has 40 divisors (see below), whose sum is σ = 1674000. Its totient is φ = 258048.

The previous prime is 682471. The next prime is 682483. The reversal of 682480 is 84286.

682480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1744.

It is an arithmetic number, because the mean of its divisors is an integer number (41850).

2682480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837000).

682480 is an abundant number, since it is smaller than the sum of its proper divisors (991520).

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

682480 is a wasteful number, since it uses less digits than its factorization.

682480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 682480 is about 826.1234774536. The cubic root of 682480 is about 88.0433670546.

The spelling of 682480 in words is "six hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 449 760 898 1520 1796 2245 3592 4490 7184 8531 8980 17062 17960 34124 35920 42655 68248 85310 136496 170620 341240 682480