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20727441 = 337215667
BaseRepresentation
bin100111100010…
…0011010010001
31110000001201000
41033010122101
520301234231
62020132213
7341115600
oct117043221
943001630
1020727441
1110777919
126b37069
1343a9577
142a77a37
151c466e6
hex13c4691

20727441 has 24 divisors (see below), whose sum is σ = 35723040. Its totient is φ = 11843496.

The previous prime is 20727433. The next prime is 20727449. The reversal of 20727441 is 14472702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20727433) and next prime (20727449).

It is not a de Polignac number, because 20727441 - 23 = 20727433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20727449) 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 23 ways as a sum of consecutive naturals, for example, 6511 + ... + 9156.

It is an arithmetic number, because the mean of its divisors is an integer number (1488460).

Almost surely, 220727441 is an apocalyptic number.

20727441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20727441 is a deficient number, since it is larger than the sum of its proper divisors (14995599).

20727441 is a wasteful number, since it uses less digits than its factorization.

20727441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 20727441 is about 4552.7399442534. The cubic root of 20727441 is about 274.6936135927.

The spelling of 20727441 in words is "twenty million, seven hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 15667 47001 109669 141003 329007 423009 767683 987021 2303049 2961063 6909147 20727441