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679960 = 23589191
BaseRepresentation
bin10100110000000011000
31021112201201
42212000120
5133224320
622323544
75531251
oct2460030
91245651
10679960
11424956
122895b4
131aa658
14139b28
15d670a
hexa6018

679960 has 32 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 267520.

The previous prime is 679957. The next prime is 679961. The reversal of 679960 is 69976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679961) 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, 3465 + ... + 3655.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2679960 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 679960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

679960 is an abundant number, since it is smaller than the sum of its proper divisors (875240).

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

679960 is a wasteful number, since it uses less digits than its factorization.

679960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 679960 is about 824.5968712043. The cubic root of 679960 is about 87.9348691624.

It can be divided in two parts, 6799 and 60, that added together give a cube (6859 = 193).

The spelling of 679960 in words is "six hundred seventy-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 191 356 382 445 712 764 890 955 1528 1780 1910 3560 3820 7640 16999 33998 67996 84995 135992 169990 339980 679960