Search a number
-
+
5122000 = 245313197
BaseRepresentation
bin10011100010011111010000
3100122020001201
4103202133100
52302401000
6301440544
761351642
oct23423720
910566051
105122000
112989264
121870154
1310a4490
14974892
156b296a
hex4e27d0

5122000 has 80 divisors (see below), whose sum is σ = 13405392. Its totient is φ = 1881600.

The previous prime is 5121989. The next prime is 5122069. The reversal of 5122000 is 2215.

It can be written as a sum of positive squares in 8 ways, for example, as 1089936 + 4032064 = 1044^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25902 + ... + 26098.

Almost surely, 25122000 is an apocalyptic number.

5122000 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 5122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702696).

5122000 is an abundant number, since it is smaller than the sum of its proper divisors (8283392).

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

5122000 is a wasteful number, since it uses less digits than its factorization.

5122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5122000 is about 2263.1835983852. The cubic root of 5122000 is about 172.3772143091.

Adding to 5122000 its reverse (2215), we get a palindrome (5124215).

The spelling of 5122000 in words is "five million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 197 200 208 250 260 325 394 400 500 520 650 788 985 1000 1040 1300 1576 1625 1970 2000 2561 2600 3152 3250 3940 4925 5122 5200 6500 7880 9850 10244 12805 13000 15760 19700 20488 24625 25610 26000 39400 40976 49250 51220 64025 78800 98500 102440 128050 197000 204880 256100 320125 394000 512200 640250 1024400 1280500 2561000 5122000