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20144929 = 72537757
BaseRepresentation
bin100110011011…
…0001100100001
31101220110122111
41030312030201
520124114204
61555435321
7333141400
oct114661441
941813574
1020144929
111040a202
1268b5b41
13423439c
142965637
151b7dd04
hex1336321

20144929 has 12 divisors (see below), whose sum is σ = 23879124. Its totient is φ = 16939104.

The previous prime is 20144923. The next prime is 20144951. The reversal of 20144929 is 92944102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15586704 + 4558225 = 3948^2 + 2135^2 .

It is not a de Polignac number, because 20144929 - 29 = 20144417 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 20144929.

It is not an unprimeable number, because it can be changed into a prime (20144923) 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 11 ways as a sum of consecutive naturals, for example, 1282 + ... + 6475.

It is an arithmetic number, because the mean of its divisors is an integer number (1989927).

Almost surely, 220144929 is an apocalyptic number.

It is an amenable number.

20144929 is a deficient number, since it is larger than the sum of its proper divisors (3734195).

20144929 is an equidigital number, since it uses as much as digits as its factorization.

20144929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 20144929 is about 4488.3102611116. The cubic root of 20144929 is about 272.0958473128.

The spelling of 20144929 in words is "twenty million, one hundred forty-four thousand, nine hundred twenty-nine".

Divisors: 1 7 49 53 371 2597 7757 54299 380093 411121 2877847 20144929