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20967241 = 1922412
BaseRepresentation
bin100111111111…
…0111101001001
31110110020122111
41033332331021
520331422431
62025222321
7343134661
oct117767511
943406574
1020967241
1110920aa9
1270319a1
134461769
142adb1a1
151c927b1
hex13fef49

20967241 has 9 divisors (see below), whose sum is σ = 22221063. Its totient is φ = 19781280.

The previous prime is 20967227. The next prime is 20967259. The reversal of 20967241 is 14276902.

The square root of 20967241 is 4579.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15768841 + 5198400 = 3971^2 + 2280^2 .

It is not a de Polignac number, because 20967241 - 25 = 20967209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20967041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86881 + ... + 87121.

It is an arithmetic number, because the mean of its divisors is an integer number (2469007).

Almost surely, 220967241 is an apocalyptic number.

20967241 is the 4579-th square number.

20967241 is the 2290-th centered octagonal number.

It is an amenable number.

20967241 is a deficient number, since it is larger than the sum of its proper divisors (1253822).

20967241 is an frugal number, since it uses more digits than its factorization.

20967241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The cubic root of 20967241 is about 275.7488832987.

The spelling of 20967241 in words is "twenty million, nine hundred sixty-seven thousand, two hundred forty-one".

Divisors: 1 19 241 361 4579 58081 87001 1103539 20967241