Search a number
-
+
5032300 = 2252721379
BaseRepresentation
bin10011001100100101101100
3100110200000111
4103030211230
52242013200
6255505404
760526300
oct23144554
910420014
105032300
112927929
121828264
1310726c0
1494dd00
156960ba
hex4cc96c

5032300 has 108 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 1572480.

The previous prime is 5032253. The next prime is 5032319. The reversal of 5032300 is 32305.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 35 ways as a sum of consecutive naturals, for example, 63661 + ... + 63739.

Almost surely, 25032300 is an apocalyptic number.

5032300 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 5032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

5032300 is an abundant number, since it is smaller than the sum of its proper divisors (8820980).

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

5032300 is a wasteful number, since it uses less digits than its factorization.

5032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 5032300 is about 2243.2788502547. The cubic root of 5032300 is about 171.3650194323.

Adding to 5032300 its reverse (32305), we get a palindrome (5064605).

The spelling of 5032300 in words is "five million, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 79 91 98 100 130 140 158 175 182 196 245 260 316 325 350 364 395 455 490 553 637 650 700 790 910 980 1027 1106 1225 1274 1300 1580 1820 1975 2054 2212 2275 2450 2548 2765 3185 3871 3950 4108 4550 4900 5135 5530 6370 7189 7742 7900 9100 10270 11060 12740 13825 14378 15484 15925 19355 20540 25675 27650 28756 31850 35945 38710 50323 51350 55300 63700 71890 77420 96775 100646 102700 143780 179725 193550 201292 251615 359450 387100 503230 718900 1006460 1258075 2516150 5032300