Search a number
-
+
21272520 = 2335269659
BaseRepresentation
bin101000100100…
…1011111001000
31111000202102010
41101021133020
520421210040
62035535520
7345546003
oct121113710
944022363
1021272520
111100a3a5
12715a5a0
13453a6b9
142b7a53a
151d02e80
hex14497c8

21272520 has 64 divisors (see below), whose sum is σ = 64152000. Its totient is φ = 5643008.

The previous prime is 21272507. The next prime is 21272527. The reversal of 21272520 is 2527212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21272527) 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 15 ways as a sum of consecutive naturals, for example, 31951 + ... + 32609.

It is an arithmetic number, because the mean of its divisors is an integer number (1002375).

Almost surely, 221272520 is an apocalyptic number.

21272520 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 21272520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32076000).

21272520 is an abundant number, since it is smaller than the sum of its proper divisors (42879480).

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

21272520 is a wasteful number, since it uses less digits than its factorization.

21272520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 21272520 is about 4612.2142187891. The cubic root of 21272520 is about 277.0807238654.

Adding to 21272520 its reverse (2527212), we get a palindrome (23799732).

The spelling of 21272520 in words is "twenty-one million, two hundred seventy-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 269 538 659 807 1076 1318 1345 1614 1977 2152 2636 2690 3228 3295 3954 4035 5272 5380 6456 6590 7908 8070 9885 10760 13180 15816 16140 19770 26360 32280 39540 79080 177271 354542 531813 709084 886355 1063626 1418168 1772710 2127252 2659065 3545420 4254504 5318130 7090840 10636260 21272520