Search a number
-
+
20532300 = 2235289769
BaseRepresentation
bin100111001010…
…0110001001100
31102122011000120
41032110301030
520224013200
62012024540
7336343635
oct116246114
942564016
1020532300
1110654248
126a62150
13433b7b9
142a2688c
151c089a0
hex1394c4c

20532300 has 72 divisors (see below), whose sum is σ = 60152400. Its totient is φ = 5406720.

The previous prime is 20532289. The next prime is 20532301. The reversal of 20532300 is 323502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20532300.

It is not an unprimeable number, because it can be changed into a prime (20532301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26316 + ... + 27084.

It is an arithmetic number, because the mean of its divisors is an integer number (835450).

Almost surely, 220532300 is an apocalyptic number.

20532300 is a gapful number since it is divisible by the number (20) 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 20532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30076200).

20532300 is an abundant number, since it is smaller than the sum of its proper divisors (39620100).

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

20532300 is a wasteful number, since it uses less digits than its factorization.

20532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 20532300 is about 4531.2581034410. The cubic root of 20532300 is about 273.8288486616.

Adding to 20532300 its reverse (323502), we get a palindrome (20855802).

The spelling of 20532300 in words is "twenty million, five hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 769 890 1068 1335 1538 1780 2225 2307 2670 3076 3845 4450 4614 5340 6675 7690 8900 9228 11535 13350 15380 19225 23070 26700 38450 46140 57675 68441 76900 115350 136882 205323 230700 273764 342205 410646 684410 821292 1026615 1368820 1711025 2053230 3422050 4106460 5133075 6844100 10266150 20532300