Search a number
-
+
5058720 = 253351171
BaseRepresentation
bin10011010011000010100000
3100112000021000
4103103002200
52243334340
6300232000
760666312
oct23230240
910460230
105058720
112945767
12183b600
131081734
149597b2
1569dd30
hex4d30a0

5058720 has 96 divisors (see below), whose sum is σ = 17720640. Its totient is φ = 1347840.

The previous prime is 5058709. The next prime is 5058721. The reversal of 5058720 is 278505.

It is a happy number.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (5058721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3735 + ... + 4905.

It is an arithmetic number, because the mean of its divisors is an integer number (184590).

Almost surely, 25058720 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 5058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860320).

5058720 is an abundant number, since it is smaller than the sum of its proper divisors (12661920).

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

5058720 is a wasteful number, since it uses less digits than its factorization.

5058720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5058720 is about 2249.1598431414. The cubic root of 5058720 is about 171.6643897437.

It can be divided in two parts, 5058 and 720, that added together give a triangular number (5778 = T107).

The spelling of 5058720 in words is "five million, fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1171 1440 2160 2342 3513 4320 4684 5855 7026 9368 10539 11710 14052 17565 18736 21078 23420 28104 31617 35130 37472 42156 46840 52695 56208 63234 70260 84312 93680 105390 112416 126468 140520 158085 168624 187360 210780 252936 281040 316170 337248 421560 505872 562080 632340 843120 1011744 1264680 1686240 2529360 5058720