Search a number
-
+
20132300 = 22521091847
BaseRepresentation
bin100110011001…
…1000111001100
31101212211022202
41030303013030
520123213200
61555301032
7333056516
oct114630714
941784282
1020132300
1110400771
1268aa778
13422b706
142960bb6
151b7a1d5
hex13331cc

20132300 has 36 divisors (see below), whose sum is σ = 44111760. Its totient is φ = 7974720.

The previous prime is 20132297. The next prime is 20132303. The reversal of 20132300 is 323102.

It is an interprime number because it is at equal distance from previous prime (20132297) and next prime (20132303).

It is not an unprimeable number, because it can be changed into a prime (20132303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9977 + ... + 11823.

Almost surely, 220132300 is an apocalyptic number.

20132300 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 20132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22055880).

20132300 is an abundant number, since it is smaller than the sum of its proper divisors (23979460).

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

20132300 is a wasteful number, since it uses less digits than its factorization.

20132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 20132300 is about 4486.9031636531. The cubic root of 20132300 is about 272.0389758161.

Adding to 20132300 its reverse (323102), we get a palindrome (20455402).

The spelling of 20132300 in words is "twenty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 1847 2180 2725 3694 5450 7388 9235 10900 18470 36940 46175 92350 184700 201323 402646 805292 1006615 2013230 4026460 5033075 10066150 20132300