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5671200 = 2535217139
BaseRepresentation
bin10101101000100100100000
3101200010102110
4111220210200
52422434300
6321315320
766130053
oct25504440
911603373
105671200
113223947
121a95b40
131237452
14a78a9a
15770550
hex568920

5671200 has 144 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 1413120.

The previous prime is 5671199. The next prime is 5671207. The reversal of 5671200 is 21765.

It is not an unprimeable number, because it can be changed into a prime (5671207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40731 + ... + 40869.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 25671200 is an apocalyptic number.

5671200 is a gapful number since it is divisible by the number (50) 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 5671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

5671200 is an abundant number, since it is smaller than the sum of its proper divisors (14015040).

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

5671200 is a wasteful number, since it uses less digits than its factorization.

5671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5671200 is about 2381.4281429428. The cubic root of 5671200 is about 178.3302374245.

Adding to 5671200 its reverse (21765), we get a palindrome (5692965).

The spelling of 5671200 in words is "five million, six hundred seventy-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 139 150 160 170 200 204 240 255 272 278 300 340 400 408 417 425 480 510 544 556 600 680 695 800 816 834 850 1020 1112 1200 1275 1360 1390 1632 1668 1700 2040 2085 2224 2363 2400 2550 2720 2780 3336 3400 3475 4080 4170 4448 4726 5100 5560 6672 6800 6950 7089 8160 8340 9452 10200 10425 11120 11815 13344 13600 13900 14178 16680 18904 20400 20850 22240 23630 27800 28356 33360 35445 37808 40800 41700 47260 55600 56712 59075 66720 70890 75616 83400 94520 111200 113424 118150 141780 166800 177225 189040 226848 236300 283560 333600 354450 378080 472600 567120 708900 945200 1134240 1417800 1890400 2835600 5671200