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673960 = 23572983
BaseRepresentation
bin10100100100010101000
31021020111111
42210202220
5133031320
622240104
75504620
oct2444250
91236444
10673960
114203a1
12286034
131a79c1
14137880
15d4a5a
hexa48a8

673960 has 64 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 220416.

The previous prime is 673951. The next prime is 673961. The reversal of 673960 is 69376.

It is not an unprimeable number, because it can be changed into a prime (673961) by changing a digit.

673960 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8079 + ... + 8161.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2673960 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 673960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

673960 is an abundant number, since it is smaller than the sum of its proper divisors (1140440).

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

673960 is a wasteful number, since it uses less digits than its factorization.

673960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 673960 is about 820.9506684326. The cubic root of 673960 is about 87.6754574564.

The spelling of 673960 in words is "six hundred seventy-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 83 116 140 145 166 203 232 280 290 332 406 415 580 581 664 812 830 1015 1160 1162 1624 1660 2030 2324 2407 2905 3320 4060 4648 4814 5810 8120 9628 11620 12035 16849 19256 23240 24070 33698 48140 67396 84245 96280 134792 168490 336980 673960