Search a number
-
+
5713280 = 27579113
BaseRepresentation
bin10101110010110110000000
3101202021010222
4111302312000
52430311110
6322242212
766363536
oct25626600
911667128
105713280
113252521
121ab6368
131250651
14a8a156
1577cc55
hex572d80

5713280 has 64 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 2236416.

The previous prime is 5713259. The next prime is 5713283. The reversal of 5713280 is 823175.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50504 + ... + 50616.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 25713280 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 5713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

5713280 is an abundant number, since it is smaller than the sum of its proper divisors (8240320).

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

5713280 is a wasteful number, since it uses less digits than its factorization.

5713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5713280 is about 2390.2468491769. The cubic root of 5713280 is about 178.7702179358.

The spelling of 5713280 in words is "five million, seven hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 113 128 158 160 226 316 320 395 452 565 632 640 790 904 1130 1264 1580 1808 2260 2528 3160 3616 4520 5056 6320 7232 8927 9040 10112 12640 14464 17854 18080 25280 35708 36160 44635 50560 71416 72320 89270 142832 178540 285664 357080 571328 714160 1142656 1428320 2856640 5713280