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1312848 = 24341013
BaseRepresentation
bin101000000100001010000
32110200220000
411000201100
5314002343
644050000
714105355
oct5004120
92420800
101312848
118173a9
12533900
1336c744
1426262c
151aded3
hex140850

1312848 has 50 divisors (see below), whose sum is σ = 3803514. Its totient is φ = 437184.

The previous prime is 1312847. The next prime is 1312853. The reversal of 1312848 is 8482131.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 627264 = 828^2 + 792^2 .

It is a super-2 number, since 2×13128482 = 3447139742208, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312841) 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 9 ways as a sum of consecutive naturals, for example, 790 + ... + 1802.

21312848 is an apocalyptic number.

1312848 is a gapful number since it is divisible by the number (18) 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 1312848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901757).

1312848 is an abundant number, since it is smaller than the sum of its proper divisors (2490666).

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

1312848 is a wasteful number, since it uses less digits than its factorization.

1312848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1312848 is about 1145.7957933244. The cubic root of 1312848 is about 109.4976542939.

Adding to 1312848 its reverse (8482131), we get a palindrome (9794979).

The spelling of 1312848 in words is "one million, three hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1013 1296 2026 3039 4052 6078 8104 9117 12156 16208 18234 24312 27351 36468 48624 54702 72936 82053 109404 145872 164106 218808 328212 437616 656424 1312848