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1312368 = 243191439
BaseRepresentation
bin101000000011001110000
32110200020020
411000121300
5313443433
644043440
714104101
oct5003160
92420206
101312368
11817002
12533580
1336c465
142623a8
151adcb3
hex140670

1312368 has 40 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 414144.

The previous prime is 1312351. The next prime is 1312373. The reversal of 1312368 is 8632131.

1312368 = T397 + T398 + ... + T412.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 193 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

21312368 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 1312368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1312368 is an abundant number, since it is smaller than the sum of its proper divisors (2258832).

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

1312368 is a wasteful number, since it uses less digits than its factorization.

1312368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1312368 is about 1145.5863127674. The cubic root of 1312368 is about 109.4843079200.

Adding to 1312368 its reverse (8632131), we get a palindrome (9944499).

The spelling of 1312368 in words is "one million, three hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1439 2878 4317 5756 8634 11512 17268 23024 27341 34536 54682 69072 82023 109364 164046 218728 328092 437456 656184 1312368