Search a number
-
+
20132320 = 255139679
BaseRepresentation
bin100110011001…
…1000111100000
31101212211100111
41030303013200
520123213240
61555301104
7333056545
oct114630740
941784314
1020132320
111040078a
1268aa794
13422b720
142960bcc
151b7a1ea
hex13331e0

20132320 has 48 divisors (see below), whose sum is σ = 51226560. Its totient is φ = 7432704.

The previous prime is 20132311. The next prime is 20132341. The reversal of 20132320 is 2323102.

20132320 = T79 + T80 + ... + T494.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20132320.

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 7 ways as a sum of consecutive naturals, for example, 2760 + ... + 6919.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 220132320 is an apocalyptic number.

20132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132320 is an abundant number, since it is smaller than the sum of its proper divisors (31094240).

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

20132320 is a wasteful number, since it uses less digits than its factorization.

20132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20132320 is about 4486.9053923612. The cubic root of 20132320 is about 272.0390658999.

Adding to 20132320 its reverse (2323102), we get a palindrome (22455422).

The spelling of 20132320 in words is "twenty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 9679 19358 38716 48395 77432 96790 125827 154864 193580 251654 309728 387160 503308 629135 774320 1006616 1258270 1548640 2013232 2516540 4026464 5033080 10066160 20132320