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676670580 = 2232523732239
BaseRepresentation
bin101000010101010…
…010110001110100
31202011021102112100
4220111102301310
52341211424310
6151051222100
722524414345
oct5025226164
91664242470
10676670580
11317a65693
1216a747930
13aa2616c1
1465c240cc
153e614ec0
hex28552c74

676670580 has 144 divisors (see below), whose sum is σ = 2172119040. Its totient is φ = 170159616.

The previous prime is 676670513. The next prime is 676670581. The reversal of 676670580 is 85076676.

676670580 is a `hidden beast` number, since 6 + 7 + 6 + 67 + 0 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676670581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301101 + ... + 303339.

It is an arithmetic number, because the mean of its divisors is an integer number (15084160).

Almost surely, 2676670580 is an apocalyptic number.

676670580 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 676670580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086059520).

676670580 is an abundant number, since it is smaller than the sum of its proper divisors (1495448460).

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

676670580 is a wasteful number, since it uses less digits than its factorization.

676670580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 676670580 is about 26012.8925727225. The cubic root of 676670580 is about 877.9284001644.

The spelling of 676670580 in words is "six hundred seventy-six million, six hundred seventy thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 73 90 92 115 138 146 180 207 219 230 276 292 345 365 414 438 460 657 690 730 828 876 1035 1095 1314 1380 1460 1679 2070 2190 2239 2628 3285 3358 4140 4380 4478 5037 6570 6716 6717 8395 8956 10074 11195 13140 13434 15111 16790 20148 20151 22390 25185 26868 30222 33580 33585 40302 44780 50370 51497 60444 67170 75555 80604 100740 100755 102994 134340 151110 154491 163447 201510 205988 257485 302220 308982 326894 403020 463473 490341 514970 617964 653788 772455 817235 926946 980682 1029940 1471023 1544910 1634470 1853892 1961364 2317365 2451705 2942046 3089820 3268940 3759281 4634730 4903410 5884092 7355115 7518562 9269460 9806820 11277843 14710230 15037124 18796405 22555686 29420460 33833529 37592810 45111372 56389215 67667058 75185620 112778430 135334116 169167645 225556860 338335290 676670580