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679420 = 225723211
BaseRepresentation
bin10100101110111111100
31021111222201
42211313330
5133220140
622321244
75526550
oct2456774
91244881
10679420
11424505
12289224
131aa331
14139860
15d649a
hexa5dfc

679420 has 48 divisors (see below), whose sum is σ = 1709568. Its totient is φ = 221760.

The previous prime is 679417. The next prime is 679423. The reversal of 679420 is 24976.

It is an interprime number because it is at equal distance from previous prime (679417) and next prime (679423).

It is a super-2 number, since 2×6794202 = 923223072800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 62 + 75 + 43 + 96 + 217 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3115 + ... + 3325.

It is an arithmetic number, because the mean of its divisors is an integer number (35616).

2679420 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 679420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854784).

679420 is an abundant number, since it is smaller than the sum of its proper divisors (1030148).

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

679420 is a wasteful number, since it uses less digits than its factorization.

679420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 679420 is about 824.2693734454. The cubic root of 679420 is about 87.9115847510.

The spelling of 679420 in words is "six hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 211 230 322 422 460 644 805 844 1055 1477 1610 2110 2954 3220 4220 4853 5908 7385 9706 14770 19412 24265 29540 33971 48530 67942 97060 135884 169855 339710 679420