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1313136 = 243211829
BaseRepresentation
bin101000000100101110000
32110201021200
411000211300
5314010021
644051200
714106246
oct5004560
92421250
101313136
11817640
12533b00
1336c906
14262796
151ae126
hex140970

1313136 has 60 divisors (see below), whose sum is σ = 4013880. Its totient is φ = 397440.

The previous prime is 1313087. The next prime is 1313141. The reversal of 1313136 is 6313131.

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.

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 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (66898).

21313136 is an apocalyptic number.

1313136 is a gapful number since it is divisible by the number (16) 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 1313136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006940).

1313136 is an abundant number, since it is smaller than the sum of its proper divisors (2700744).

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

1313136 is a wasteful number, since it uses less digits than its factorization.

1313136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 845 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 1313136 is about 1145.9214632775. The cubic root of 1313136 is about 109.5056605568.

Adding to 1313136 its reverse (6313131), we get a palindrome (7626267).

The spelling of 1313136 in words is "one million, three hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 829 1584 1658 2487 3316 4974 6632 7461 9119 9948 13264 14922 18238 19896 27357 29844 36476 39792 54714 59688 72952 82071 109428 119376 145904 164142 218856 328284 437712 656568 1313136