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1631201 = 112131761
BaseRepresentation
bin110001110001111100001
310001212120212
412032033201
5404144301
654543505
716602455
oct6161741
93055525
101631201
11a14600
12667b95
13451610
14306665
152234bb
hex18e3e1

1631201 has 24 divisors (see below), whose sum is σ = 2077992. Its totient is φ = 1267200.

The previous prime is 1631191. The next prime is 1631209. The reversal of 1631201 is 1021361.

It can be written as a sum of positive squares in 4 ways, for example, as 3025 + 1628176 = 55^2 + 1276^2 .

It is not a de Polignac number, because 1631201 - 214 = 1614817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1631209) 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, 26711 + ... + 26771.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

21631201 is an apocalyptic number.

1631201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1631201 is a deficient number, since it is larger than the sum of its proper divisors (446791).

1631201 is a wasteful number, since it uses less digits than its factorization.

1631201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1631201 is about 1277.1847947733. The cubic root of 1631201 is about 117.7160894533.

Adding to 1631201 its reverse (1021361), we get a palindrome (2652562).

The spelling of 1631201 in words is "one million, six hundred thirty-one thousand, two hundred one".

Divisors: 1 11 13 17 61 121 143 187 221 671 793 1037 1573 2057 2431 7381 8723 11407 13481 26741 95953 125477 148291 1631201