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1312168 = 2311133137
BaseRepresentation
bin101000000010110101000
32110122221211
411000112220
5313442133
644042504
714103364
oct5002650
92418854
101312168
11816940
12533434
1336c340
142622a4
151adbcd
hex1405a8

1312168 has 64 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 518400.

The previous prime is 1312153. The next prime is 1312169. The reversal of 1312168 is 8612131.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312169) 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 15 ways as a sum of consecutive naturals, for example, 35446 + ... + 35482.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21312168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

1312168 is an abundant number, since it is smaller than the sum of its proper divisors (1752152).

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

1312168 is a wasteful number, since it uses less digits than its factorization.

1312168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 1312168 is about 1145.4990178957. The cubic root of 1312168 is about 109.4787459704.

Adding to 1312168 its reverse (8612131), we get a palindrome (9924299).

The spelling of 1312168 in words is "one million, three hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 31 37 44 52 62 74 88 104 124 143 148 248 286 296 341 403 407 481 572 682 806 814 962 1144 1147 1364 1612 1628 1924 2294 2728 3224 3256 3848 4433 4588 5291 8866 9176 10582 12617 14911 17732 21164 25234 29822 35464 42328 50468 59644 100936 119288 164021 328042 656084 1312168