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1312320 = 26351367
BaseRepresentation
bin101000000011001000000
32110200011110
411000121000
5313443240
644043320
714104002
oct5003100
92420143
101312320
11816a69
12533540
1336c429
14262372
151adc80
hex140640

1312320 has 56 divisors (see below), whose sum is σ = 4169664. Its totient is φ = 349696.

The previous prime is 1312319. The next prime is 1312331. The reversal of 1312320 is 232131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1312296 and 1312305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 1643.

21312320 is an apocalyptic number.

1312320 is a gapful number since it is divisible by the number (10) 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 1312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084832).

1312320 is an abundant number, since it is smaller than the sum of its proper divisors (2857344).

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

1312320 is a wasteful number, since it uses less digits than its factorization.

1312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1312320 is about 1145.5653626049. The cubic root of 1312320 is about 109.4829731036.

Adding to 1312320 its reverse (232131), we get a palindrome (1544451).

The spelling of 1312320 in words is "one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1367 2734 4101 5468 6835 8202 10936 13670 16404 20505 21872 27340 32808 41010 43744 54680 65616 82020 87488 109360 131232 164040 218720 262464 328080 437440 656160 1312320