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671314050 = 2325211212329
BaseRepresentation
bin101000000000110…
…111000010000010
31201210012021202100
4220000313002002
52333324022200
6150340331230
722431034551
oct5000670202
91653167670
10671314050
11314a37200
121689a3b16
13a9107564
146522bd98
153de07d00
hex28037082

671314050 has 108 divisors (see below), whose sum is σ = 1982627010. Its totient is φ = 162729600.

The previous prime is 671313997. The next prime is 671314057. The reversal of 671314050 is 50413176.

It can be written as a sum of positive squares in 3 ways, for example, as 254051721 + 417262329 = 15939^2 + 20427^2 .

It is not an unprimeable number, because it can be changed into a prime (671314057) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 48286 + ... + 60614.

Almost surely, 2671314050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671314050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991313505).

671314050 is an abundant number, since it is smaller than the sum of its proper divisors (1311312960).

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

671314050 is a wasteful number, since it uses less digits than its factorization.

671314050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 671314050 is about 25909.7288677439. The cubic root of 671314050 is about 875.6056976305.

It can be divided in two parts, 671 and 314050, that added together give a square (314721 = 5612).

The spelling of 671314050 in words is "six hundred seventy-one million, three hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 4950 5445 6050 9075 10890 12329 18150 24658 27225 36987 54450 61645 73974 110961 123290 135619 184935 221922 271238 308225 369870 406857 554805 616450 678095 813714 924675 1109610 1220571 1356190 1491809 1849350 2034285 2441142 2774025 2983618 3390475 4068570 4475427 5548050 6102855 6780950 7459045 8950854 10171425 12205710 13426281 14918090 20342850 22377135 26852562 30514275 37295225 44754270 61028550 67131405 74590450 111885675 134262810 223771350 335657025 671314050