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678420 = 223253769
BaseRepresentation
bin10100101101000010100
31021110121200
42211220110
5133202140
622312500
75523621
oct2455024
91243550
10678420
11423786
12288730
131a9a42
14139348
15d6030
hexa5a14

678420 has 36 divisors (see below), whose sum is σ = 2058420. Its totient is φ = 180864.

The previous prime is 678413. The next prime is 678421. The reversal of 678420 is 24876.

It can be written as a sum of positive squares in 2 ways, for example, as 412164 + 266256 = 642^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705 + ... + 2064.

2678420 is an apocalyptic number.

678420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

678420 is an abundant number, since it is smaller than the sum of its proper divisors (1380000).

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

678420 is a wasteful number, since it uses less digits than its factorization.

678420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 678420 is about 823.6625522628. The cubic root of 678420 is about 87.8684328711.

The spelling of 678420 in words is "six hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3769 7538 11307 15076 18845 22614 33921 37690 45228 56535 67842 75380 113070 135684 169605 226140 339210 678420