Search a number
-
+
20200272 = 243616899
BaseRepresentation
bin100110100001…
…1101101010000
31102000021120020
41031003231100
520132402042
62000543440
7333461631
oct115035520
942007506
1020200272
1110447844
126921b80
134253631
14297b888
151b903ec
hex1343b50

20200272 has 40 divisors (see below), whose sum is σ = 53047200. Its totient is φ = 6622080.

The previous prime is 20200259. The next prime is 20200289. The reversal of 20200272 is 27200202.

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, 522 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (1326180).

Almost surely, 220200272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523600).

20200272 is an abundant number, since it is smaller than the sum of its proper divisors (32846928).

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

20200272 is a wasteful number, since it uses less digits than its factorization.

20200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 20200272 is about 4494.4712703498. The cubic root of 20200272 is about 272.3447905516.

Adding to 20200272 its reverse (27200202), we get a palindrome (47400474).

The spelling of 20200272 in words is "twenty million, two hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 6899 13798 20697 27596 41394 55192 82788 110384 165576 331152 420839 841678 1262517 1683356 2525034 3366712 5050068 6733424 10100136 20200272