Search a number
-
+
5300100 = 22335213151
BaseRepresentation
bin10100001101111110000100
3100222021101000
4110031332010
52324100400
6305333300
763023121
oct24157604
910867330
105300100
112aa0053
121937230
131137570
149bd748
156ea600
hex50df84

5300100 has 144 divisors (see below), whose sum is σ = 18471040. Its totient is φ = 1296000.

The previous prime is 5300093. The next prime is 5300123. The reversal of 5300100 is 10035.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 35025 + ... + 35175.

Almost surely, 25300100 is an apocalyptic number.

5300100 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 5300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235520).

5300100 is an abundant number, since it is smaller than the sum of its proper divisors (13170940).

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

5300100 is a wasteful number, since it uses less digits than its factorization.

5300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5300100 is about 2302.1946051540. The cubic root of 5300100 is about 174.3524366689.

Adding to 5300100 its reverse (10035), we get a palindrome (5310135).

The spelling of 5300100 in words is "five million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 151 156 180 195 225 234 260 270 300 302 325 351 390 450 453 468 540 585 604 650 675 702 755 780 900 906 975 1170 1300 1350 1359 1404 1510 1755 1812 1950 1963 2265 2340 2700 2718 2925 3020 3510 3775 3900 3926 4077 4530 5436 5850 5889 6795 7020 7550 7852 8154 8775 9060 9815 11325 11700 11778 13590 15100 16308 17550 17667 19630 20385 22650 23556 27180 29445 33975 35100 35334 39260 40770 45300 49075 53001 58890 67950 70668 81540 88335 98150 101925 106002 117780 135900 147225 176670 196300 203850 212004 265005 294450 353340 407700 441675 530010 588900 883350 1060020 1325025 1766700 2650050 5300100