Search a number
-
+
5727120 = 243572487
BaseRepresentation
bin10101110110001110010000
3101202222010120
4111312032100
52431231440
6322430240
766452100
oct25661620
911688116
105727120
113261963
121b02380
131256a39
14a91200
15781dd0
hex576390

5727120 has 120 divisors (see below), whose sum is σ = 20695104. Its totient is φ = 1306368.

The previous prime is 5727103. The next prime is 5727121. The reversal of 5727120 is 217275.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5727121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11517 + ... + 12003.

Almost surely, 25727120 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 5727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347552).

5727120 is an abundant number, since it is smaller than the sum of its proper divisors (14967984).

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

5727120 is a wasteful number, since it uses less digits than its factorization.

5727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 5727120 is about 2393.1401964783. The cubic root of 5727120 is about 178.9144540932.

It can be divided in two parts, 57271 and 20, that added together give a triangular number (57291 = T338).

The spelling of 5727120 in words is "five million, seven hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 487 490 560 588 735 784 840 974 980 1176 1461 1470 1680 1948 1960 2352 2435 2922 2940 3409 3896 3920 4870 5844 5880 6818 7305 7792 9740 10227 11688 11760 13636 14610 17045 19480 20454 23376 23863 27272 29220 34090 38960 40908 47726 51135 54544 58440 68180 71589 81816 95452 102270 116880 119315 136360 143178 163632 190904 204540 238630 272720 286356 357945 381808 409080 477260 572712 715890 818160 954520 1145424 1431780 1909040 2863560 5727120