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679400 = 23524379
BaseRepresentation
bin10100101110111101000
31021111221222
42211313220
5133220100
622321212
75526521
oct2456750
91244858
10679400
11424497
12289208
131aa317
14139848
15d6485
hexa5de8

679400 has 48 divisors (see below), whose sum is σ = 1636800. Its totient is φ = 262080.

The previous prime is 679381. The next prime is 679403. The reversal of 679400 is 4976.

It is a self number, because there is not a number n which added to its sum of digits gives 679400.

It is not an unprimeable number, because it can be changed into a prime (679403) by changing a digit.

679400 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8561 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (34100).

2679400 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 679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818400).

679400 is an abundant number, since it is smaller than the sum of its proper divisors (957400).

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

679400 is a wasteful number, since it uses less digits than its factorization.

679400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 679400 is about 824.2572413998. The cubic root of 679400 is about 87.9107221285.

The spelling of 679400 in words is "six hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 79 86 100 158 172 200 215 316 344 395 430 632 790 860 1075 1580 1720 1975 2150 3160 3397 3950 4300 6794 7900 8600 13588 15800 16985 27176 33970 67940 84925 135880 169850 339700 679400