Search a number
-
+
21282272 = 2511103587
BaseRepresentation
bin101000100101…
…1110111100000
31111001020210022
41101023313200
520422013042
62040053012
7345616304
oct121136740
944036708
1021282272
1111016760
127164168
134541c7b
142b7dd04
151d05cd2
hex144bde0

21282272 has 48 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 9563520.

The previous prime is 21282269. The next prime is 21282301. The reversal of 21282272 is 27228212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35963 + ... + 36549.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 221282272 is an apocalyptic number.

21282272 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 21282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

21282272 is an abundant number, since it is smaller than the sum of its proper divisors (24948640).

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

21282272 is a wasteful number, since it uses less digits than its factorization.

21282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 21282272 is about 4613.2712905269. The cubic root of 21282272 is about 277.1230582701.

The spelling of 21282272 in words is "twenty-one million, two hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 587 824 1133 1174 1648 2266 2348 3296 4532 4696 6457 9064 9392 12914 18128 18784 25828 36256 51656 60461 103312 120922 206624 241844 483688 665071 967376 1330142 1934752 2660284 5320568 10641136 21282272