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1313010 = 23451621
BaseRepresentation
bin101000000100011110010
32110201010000
411000203302
5314004020
644050430
714106006
oct5004362
92421100
101313010
11817536
12533a16
1336c83a
14262706
151ae090
hex1408f2

1313010 has 40 divisors (see below), whose sum is σ = 3532716. Its totient is φ = 349920.

The previous prime is 1312967. The next prime is 1313041. The reversal of 1313010 is 103131.

1313010 is a nontrivial binomial coefficient, being equal to C(1621, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 1306449 + 6561 = 1143^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312983 and 1313001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 1620.

21313010 is an apocalyptic number.

1313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313010 is the 1620-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766358).

1313010 is an abundant number, since it is smaller than the sum of its proper divisors (2219706).

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

1313010 is a wasteful number, since it uses less digits than its factorization.

1313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1313010 is about 1145.8664843689. The cubic root of 1313010 is about 109.5021579608.

Adding to 1313010 its reverse (103131), we get a palindrome (1416141).

The spelling of 1313010 in words is "one million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1621 3242 4863 8105 9726 14589 16210 24315 29178 43767 48630 72945 87534 131301 145890 218835 262602 437670 656505 1313010