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1311696 = 24329109
BaseRepresentation
bin101000000001111010000
32110122022100
411000033100
5313433241
644040400
714102121
oct5001720
92418270
101311696
11816551
12533100
1336c069
14262048
151ad9b6
hex1403d0

1311696 has 30 divisors (see below), whose sum is σ = 3671330. Its totient is φ = 437184.

The previous prime is 1311691. The next prime is 1311701. The reversal of 1311696 is 6961131.

It is an interprime number because it is at equal distance from previous prime (1311691) and next prime (1311701).

It can be written as a sum of positive squares in only one way, i.e., 876096 + 435600 = 936^2 + 660^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311691) 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 5 ways as a sum of consecutive naturals, for example, 4411 + ... + 4698.

21311696 is an apocalyptic number.

1311696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311696 is an abundant number, since it is smaller than the sum of its proper divisors (2359634).

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

1311696 is a wasteful number, since it uses less digits than its factorization.

1311696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9114 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1311696 is about 1145.2929756180. The cubic root of 1311696 is about 109.4656175282.

The spelling of 1311696 in words is "one million, three hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9109 18218 27327 36436 54654 72872 81981 109308 145744 163962 218616 327924 437232 655848 1311696