Search a number
-
+
5230560 = 253517641
BaseRepresentation
bin10011111100111111100000
3100211201222110
4103330333200
52314334220
6304035320
762313306
oct23747740
910751873
105230560
112a52885
121902b40
131111a0a
149a2276
156d4be0
hex4fcfe0

5230560 has 96 divisors (see below), whose sum is σ = 17472672. Its totient is φ = 1310720.

The previous prime is 5230553. The next prime is 5230573. The reversal of 5230560 is 650325.

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

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, 7840 + ... + 8480.

It is an arithmetic number, because the mean of its divisors is an integer number (182007).

Almost surely, 25230560 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 5230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736336).

5230560 is an abundant number, since it is smaller than the sum of its proper divisors (12242112).

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

5230560 is a wasteful number, since it uses less digits than its factorization.

5230560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5230560 is about 2287.0417573800. The cubic root of 5230560 is about 173.5865464172.

Adding to 5230560 its reverse (650325), we get a palindrome (5880885).

The spelling of 5230560 in words is "five million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 641 680 816 1020 1282 1360 1632 1923 2040 2564 2720 3205 3846 4080 5128 6410 7692 8160 9615 10256 10897 12820 15384 19230 20512 21794 25640 30768 32691 38460 43588 51280 54485 61536 65382 76920 87176 102560 108970 130764 153840 163455 174352 217940 261528 307680 326910 348704 435880 523056 653820 871760 1046112 1307640 1743520 2615280 5230560