[go: up one dir, main page]

Search a number
-
+
20201632 = 2511291979
BaseRepresentation
bin100110100010…
…0000010100000
31102000100102121
41031010002200
520132423012
62000554024
7333465613
oct115040240
942010377
1020201632
1110448870
126922914
134254139
14297c17a
151b90a07
hex13440a0

20201632 has 48 divisors (see below), whose sum is σ = 44906400. Its totient is φ = 8861440.

The previous prime is 20201563. The next prime is 20201651. The reversal of 20201632 is 23610202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9219 + ... + 11197.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 220201632 is an apocalyptic number.

20201632 is a gapful number since it is divisible by the number (22) 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 20201632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453200).

20201632 is an abundant number, since it is smaller than the sum of its proper divisors (24704768).

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

20201632 is a wasteful number, since it uses less digits than its factorization.

20201632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20201632 is about 4494.6225647990. The cubic root of 20201632 is about 272.3509023604.

Adding to 20201632 its reverse (23610202), we get a palindrome (43811834).

The spelling of 20201632 in words is "twenty million, two hundred one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 1979 2552 3958 5104 7916 10208 15832 21769 31664 43538 57391 63328 87076 114782 174152 229564 348304 459128 631301 696608 918256 1262602 1836512 2525204 5050408 10100816 20201632