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679380 = 223513267
BaseRepresentation
bin10100101110111010100
31021111221020
42211313110
5133220010
622321140
75526462
oct2456724
91244836
10679380
11424479
122891b0
131aa300
14139832
15d6470
hexa5dd4

679380 has 72 divisors (see below), whose sum is σ = 2090592. Its totient is φ = 164736.

The previous prime is 679373. The next prime is 679381. The reversal of 679380 is 83976.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679381) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10107 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (29036).

2679380 is an apocalyptic number.

679380 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 679380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045296).

679380 is an abundant number, since it is smaller than the sum of its proper divisors (1411212).

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

679380 is a wasteful number, since it uses less digits than its factorization.

679380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 679380 is about 824.2451091757. The cubic root of 679380 is about 87.9098594891.

The spelling of 679380 in words is "six hundred seventy-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 169 195 201 260 268 335 338 390 402 507 670 676 780 804 845 871 1005 1014 1340 1690 1742 2010 2028 2535 2613 3380 3484 4020 4355 5070 5226 8710 10140 10452 11323 13065 17420 22646 26130 33969 45292 52260 56615 67938 113230 135876 169845 226460 339690 679380