Search a number
-
+
1308096 = 2633757
BaseRepresentation
bin100111111010111000000
32110110101000
410333113000
5313324341
644012000
714055456
oct4772700
92413330
101308096
11813879
12531000
1336a52a
142609d6
151ac8b6
hex13f5c0

1308096 has 56 divisors (see below), whose sum is σ = 3850640. Its totient is φ = 435456.

The previous prime is 1308091. The next prime is 1308121. The reversal of 1308096 is 6908031.

It is a super-2 number, since 2×13080962 = 3422230290432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (1308091) 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 7 ways as a sum of consecutive naturals, for example, 1350 + ... + 2106.

21308096 is an apocalyptic number.

1308096 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 1308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925320).

1308096 is an abundant number, since it is smaller than the sum of its proper divisors (2542544).

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

1308096 is an equidigital number, since it uses as much as digits as its factorization.

1308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1308096 is about 1143.7202455146. The cubic root of 1308096 is about 109.3653815760.

The spelling of 1308096 in words is "one million, three hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 757 864 1514 1728 2271 3028 4542 6056 6813 9084 12112 13626 18168 20439 24224 27252 36336 40878 48448 54504 72672 81756 109008 145344 163512 218016 327024 436032 654048 1308096