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1271296 = 2913191
BaseRepresentation
bin100110110011000000000
32101120220001
410312120000
5311140141
643125344
713543255
oct4663000
92346801
101271296
11799164
12513854
13356860
1425142c
151a1a31
hex136600

1271296 has 40 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 583680.

The previous prime is 1271293. The next prime is 1271299. The reversal of 1271296 is 6921721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1271293) and next prime (1271299).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6561 + ... + 6751.

21271296 is an apocalyptic number.

1271296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

1271296 is an abundant number, since it is smaller than the sum of its proper divisors (1478528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1271296 is an equidigital number, since it uses as much as digits as its factorization.

1271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 1271296 is about 1127.5176273567. The cubic root of 1271296 is about 108.3300375066.

The spelling of 1271296 in words is "one million, two hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 191 208 256 382 416 512 764 832 1528 1664 2483 3056 3328 4966 6112 6656 9932 12224 19864 24448 39728 48896 79456 97792 158912 317824 635648 1271296