Search a number
-
+
5820000 = 2535497
BaseRepresentation
bin10110001100111001100000
3101221200112120
4112030321200
52442220000
6324424240
7100316634
oct26147140
911850476
105820000
11331571a
121b48080
13128a0b4
14ab6dc4
1579e6a0
hex58ce60

5820000 has 120 divisors (see below), whose sum is σ = 19287576. Its totient is φ = 1536000.

The previous prime is 5819999. The next prime is 5820011. The reversal of 5820000 is 285.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59952 + ... + 60048.

Almost surely, 25820000 is an apocalyptic number.

5820000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643788).

5820000 is an abundant number, since it is smaller than the sum of its proper divisors (13467576).

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

5820000 is an equidigital number, since it uses as much as digits as its factorization.

5820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5820000 is about 2412.4676163630. The cubic root of 5820000 is about 179.8764584375.

Adding to 5820000 its reverse (285), we get a palindrome (5820285).

The spelling of 5820000 in words is "five million, eight hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 97 100 120 125 150 160 194 200 240 250 291 300 375 388 400 480 485 500 582 600 625 750 776 800 970 1000 1164 1200 1250 1455 1500 1552 1875 1940 2000 2328 2400 2425 2500 2910 3000 3104 3750 3880 4000 4656 4850 5000 5820 6000 7275 7500 7760 9312 9700 10000 11640 12000 12125 14550 15000 15520 19400 20000 23280 24250 29100 30000 36375 38800 46560 48500 58200 60000 60625 72750 77600 97000 116400 121250 145500 181875 194000 232800 242500 291000 363750 388000 485000 582000 727500 970000 1164000 1455000 1940000 2910000 5820000