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1316096 = 285397
BaseRepresentation
bin101000001010100000000
32110212100022
411001110000
5314103341
644113012
714121005
oct5012400
92425308
101316096
11819891
12535768
13371072
142638ac
151aee4b
hex141500

1316096 has 36 divisors (see below), whose sum is σ = 2704212. Its totient is φ = 638976.

The previous prime is 1316071. The next prime is 1316099. The reversal of 1316096 is 6906131.

It can be written as a sum of positive squares in 2 ways, for example, as 774400 + 541696 = 880^2 + 736^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13520 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (75117).

21316096 is an apocalyptic number.

1316096 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 1316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352106).

1316096 is an abundant number, since it is smaller than the sum of its proper divisors (1388116).

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

1316096 is an frugal number, since it uses more digits than its factorization.

1316096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 1316096 is about 1147.2122732956. The cubic root of 1316096 is about 109.5878793849.

The spelling of 1316096 in words is "one million, three hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 32 53 64 97 106 128 194 212 256 388 424 776 848 1552 1696 3104 3392 5141 6208 6784 10282 12416 13568 20564 24832 41128 82256 164512 329024 658048 1316096