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1272271 = 711133141
BaseRepresentation
bin100110110100111001111
32101122020011
410312213033
5311203041
643134051
713546150
oct4664717
92348204
101272271
11799970
12514327
13357130
14251927
151a1e81
hex1369cf

1272271 has 32 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 864000.

The previous prime is 1272269. The next prime is 1272281. The reversal of 1272271 is 1722721.

It is a 8-Lehmer number, since φ(1272271) divides (1272271-1)8.

It is a cyclic number.

It is not a de Polignac number, because 1272271 - 21 = 1272269 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a deceptive number, since it divides R1272270.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31011 + ... + 31051.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

21272271 is an apocalyptic number.

1272271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1272271 is a deficient number, since it is larger than the sum of its proper divisors (534065).

1272271 is a wasteful number, since it uses less digits than its factorization.

1272271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its digits is 392, while the sum is 22.

The square root of 1272271 is about 1127.9499102354. The cubic root of 1272271 is about 108.3577244225.

Adding to 1272271 its reverse (1722721), we get a palindrome (2994992).

It can be divided in two parts, 1 and 272271, that added together give a palindrome (272272).

The spelling of 1272271 in words is "one million, two hundred seventy-two thousand, two hundred seventy-one".

Divisors: 1 7 11 13 31 41 77 91 143 217 287 341 403 451 533 1001 1271 2387 2821 3157 3731 4433 5863 8897 13981 16523 31031 41041 97867 115661 181753 1272271