Search a number
-
+
1316136 = 233293161
BaseRepresentation
bin101000001010100101000
32110212101210
411001110220
5314104021
644113120
714121063
oct5012450
92425353
101316136
11819918
125357a0
133710a3
142638da
151aee76
hex141528

1316136 has 64 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 403200.

The previous prime is 1316099. The next prime is 1316143. The reversal of 1316136 is 6316131.

1316136 is nontrivially palindromic in base 11.

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 15 ways as a sum of consecutive naturals, for example, 21546 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (55800).

21316136 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 1316136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1316136 is an abundant number, since it is smaller than the sum of its proper divisors (2255064).

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

1316136 is a wasteful number, since it uses less digits than its factorization.

1316136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 1316136 is about 1147.2297067283. The cubic root of 1316136 is about 109.5889896056.

The spelling of 1316136 in words is "one million, three hundred sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 61 62 87 93 116 122 124 174 183 186 232 244 248 348 366 372 488 696 732 744 899 1464 1769 1798 1891 2697 3538 3596 3782 5307 5394 5673 7076 7192 7564 10614 10788 11346 14152 15128 21228 21576 22692 42456 45384 54839 109678 164517 219356 329034 438712 658068 1316136