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18264961 = 1113127727
BaseRepresentation
bin100010110101…
…1001110000001
31021100221211001
41011223032001
514133434321
61451252001
7311151421
oct105531601
937327731
1018264961
11a345810
12614a001
133a26790
1425d6481
15190bc91
hex116b381

18264961 has 8 divisors (see below), whose sum is σ = 21458304. Its totient is φ = 15327120.

The previous prime is 18264959. The next prime is 18264979. The reversal of 18264961 is 16946281.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 18264961 - 21 = 18264959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18264961.

It is not an unprimeable number, because it can be changed into a prime (18264901) 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 7 ways as a sum of consecutive naturals, for example, 63721 + ... + 64006.

It is an arithmetic number, because the mean of its divisors is an integer number (2682288).

Almost surely, 218264961 is an apocalyptic number.

18264961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18264961 is a deficient number, since it is larger than the sum of its proper divisors (3193343).

18264961 is a wasteful number, since it uses less digits than its factorization.

18264961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127751.

The product of its digits is 20736, while the sum is 37.

The square root of 18264961 is about 4273.7525665392. The cubic root of 18264961 is about 263.3537962343.

It can be divided in two parts, 182649 and 61, that added together give a triangular number (182710 = T604).

The spelling of 18264961 in words is "eighteen million, two hundred sixty-four thousand, nine hundred sixty-one".

Divisors: 1 11 13 143 127727 1404997 1660451 18264961