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1312064 = 26131983
BaseRepresentation
bin101000000010101000000
32110122210222
411000111000
5313441224
644042212
714103155
oct5002500
92418728
101312064
11816856
12533368
1336c290
1426222c
151adb5e
hex140540

1312064 has 56 divisors (see below), whose sum is σ = 2987040. Its totient is φ = 566784.

The previous prime is 1312027. The next prime is 1312079. The reversal of 1312064 is 4602131.

It is a zygodrome in base 4.

It is a congruent number.

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, 15767 + ... + 15849.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

21312064 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 1312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493520).

1312064 is an abundant number, since it is smaller than the sum of its proper divisors (1674976).

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

1312064 is a wasteful number, since it uses less digits than its factorization.

1312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1312064 is about 1145.4536219332. The cubic root of 1312064 is about 109.4758535333.

Adding to 1312064 its reverse (4602131), we get a palindrome (5914195).

The spelling of 1312064 in words is "one million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 83 104 152 166 208 247 304 332 416 494 608 664 832 988 1079 1216 1328 1577 1976 2158 2656 3154 3952 4316 5312 6308 7904 8632 12616 15808 17264 20501 25232 34528 41002 50464 69056 82004 100928 164008 328016 656032 1312064