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667080 = 2332517109
BaseRepresentation
bin10100010110111001000
31020220001200
42202313020
5132321310
622144200
75445561
oct2426710
91226050
10667080
11416207
12282060
131a482b
14135168
15d29c0
hexa2dc8

667080 has 96 divisors (see below), whose sum is σ = 2316600. Its totient is φ = 165888.

The previous prime is 667021. The next prime is 667081. The reversal of 667080 is 80766.

It can be written as a sum of positive squares in 4 ways, for example, as 636804 + 30276 = 798^2 + 174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667081) by changing a digit.

667080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6066 + ... + 6174.

2667080 is an apocalyptic number.

667080 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 667080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158300).

667080 is an abundant number, since it is smaller than the sum of its proper divisors (1649520).

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

667080 is a wasteful number, since it uses less digits than its factorization.

667080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 667080 is about 816.7496556473. The cubic root of 667080 is about 87.3760967400.

The spelling of 667080 in words is "six hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 109 120 136 153 170 180 204 218 255 306 327 340 360 408 436 510 545 612 654 680 765 872 981 1020 1090 1224 1308 1530 1635 1853 1962 2040 2180 2616 3060 3270 3706 3924 4360 4905 5559 6120 6540 7412 7848 9265 9810 11118 13080 14824 16677 18530 19620 22236 27795 33354 37060 39240 44472 55590 66708 74120 83385 111180 133416 166770 222360 333540 667080