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19945953 = 331959659
BaseRepresentation
bin100110000010…
…1100111100001
31101112100201000
41030011213201
520101232303
61551302213
7331352316
oct114054741
941470630
1019945953
1110293765
12681a969
134194951
142912d0d
151b3eda3
hex13059e1

19945953 has 32 divisors (see below), whose sum is σ = 31680000. Its totient is φ = 12365136.

The previous prime is 19945949. The next prime is 19945973. The reversal of 19945953 is 35954991.

It is a happy number.

19945953 is a `hidden beast` number, since 199 + 459 + 5 + 3 = 666.

It is not a de Polignac number, because 19945953 - 22 = 19945949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 19945899 and 19945908.

It is not an unprimeable number, because it can be changed into a prime (19945903) 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 31 ways as a sum of consecutive naturals, for example, 29938 + ... + 30596.

It is an arithmetic number, because the mean of its divisors is an integer number (990000).

Almost surely, 219945953 is an apocalyptic number.

It is an amenable number.

19945953 is a deficient number, since it is larger than the sum of its proper divisors (11734047).

19945953 is a wasteful number, since it uses less digits than its factorization.

19945953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 19945953 is about 4466.0892288444. The cubic root of 19945953 is about 271.1970308626.

The spelling of 19945953 in words is "nineteen million, nine hundred forty-five thousand, nine hundred fifty-three".

Divisors: 1 3 9 19 27 57 59 171 177 513 531 659 1121 1593 1977 3363 5931 10089 12521 17793 30267 37563 38881 112689 116643 338067 349929 738739 1049787 2216217 6648651 19945953