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1312128 = 27321767
BaseRepresentation
bin101000000010110000000
32110122220100
411000112000
5313442003
644042400
714103306
oct5002600
92418810
101312128
11816904
12533400
1336c30c
14262276
151adba3
hex140580

1312128 has 96 divisors (see below), whose sum is σ = 4057560. Its totient is φ = 405504.

The previous prime is 1312093. The next prime is 1312133. The reversal of 1312128 is 8212131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1312128.

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 11 ways as a sum of consecutive naturals, for example, 19551 + ... + 19617.

21312128 is an apocalyptic number.

1312128 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 1312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028780).

1312128 is an abundant number, since it is smaller than the sum of its proper divisors (2745432).

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

1312128 is a wasteful number, since it uses less digits than its factorization.

1312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1312128 is about 1145.4815581230. The cubic root of 1312128 is about 109.4776335127.

Adding to 1312128 its reverse (8212131), we get a palindrome (9524259).

The spelling of 1312128 in words is "one million, three hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 67 68 72 96 102 128 134 136 144 153 192 201 204 268 272 288 306 384 402 408 536 544 576 603 612 804 816 1072 1088 1139 1152 1206 1224 1608 1632 2144 2176 2278 2412 2448 3216 3264 3417 4288 4556 4824 4896 6432 6528 6834 8576 9112 9648 9792 10251 12864 13668 18224 19296 19584 20502 25728 27336 36448 38592 41004 54672 72896 77184 82008 109344 145792 164016 218688 328032 437376 656064 1312128