Search a number
-
+
5144160 = 253571531
BaseRepresentation
bin10011100111111001100000
3100200100110110
4103213321200
52304103120
6302131320
761503360
oct23477140
910610413
105144160
1129a397a
121880b40
1310b15a8
1497c9a0
156b92e0
hex4e7e60

5144160 has 96 divisors (see below), whose sum is σ = 18531072. Its totient is φ = 1175040.

The previous prime is 5144143. The next prime is 5144177. The reversal of 5144160 is 614415.

5144160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5144143) and next prime (5144177).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (193032).

Almost surely, 25144160 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 5144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9265536).

5144160 is an abundant number, since it is smaller than the sum of its proper divisors (13386912).

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

5144160 is a wasteful number, since it uses less digits than its factorization.

5144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5144160 is about 2268.0740728645. The cubic root of 5144160 is about 172.6254495982.

Adding to 5144160 its reverse (614415), we get a palindrome (5758575).

The spelling of 5144160 in words is "five million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1531 1680 3062 3360 4593 6124 7655 9186 10717 12248 15310 18372 21434 22965 24496 30620 32151 36744 42868 45930 48992 53585 61240 64302 73488 85736 91860 107170 122480 128604 146976 160755 171472 183720 214340 244960 257208 321510 342944 367440 428680 514416 643020 734880 857360 1028832 1286040 1714720 2572080 5144160