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1313820 = 22345811
BaseRepresentation
bin101000000110000011100
32110202020000
411000300130
5314020240
644054300
714111244
oct5006034
92422200
101313820
11818102
12534390
13370011
14262b24
151ae430
hex140c1c

1313820 has 60 divisors (see below), whose sum is σ = 4126584. Its totient is φ = 349920.

The previous prime is 1313813. The next prime is 1313827. The reversal of 1313820 is 283131.

It is an interprime number because it is at equal distance from previous prime (1313813) and next prime (1313827).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×13138202 = 3452245984800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313793 and 1313802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313827) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1215 + ... + 2025.

21313820 is an apocalyptic number.

1313820 is a gapful number since it is divisible by the number (10) 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 1313820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063292).

1313820 is an abundant number, since it is smaller than the sum of its proper divisors (2812764).

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

1313820 is a wasteful number, since it uses less digits than its factorization.

1313820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1313820 is about 1146.2198741952. The cubic root of 1313820 is about 109.5246707407.

Adding to 1313820 its reverse (283131), we get a palindrome (1596951).

The spelling of 1313820 in words is "one million, three hundred thirteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 811 1620 1622 2433 3244 4055 4866 7299 8110 9732 12165 14598 16220 21897 24330 29196 36495 43794 48660 65691 72990 87588 109485 131382 145980 218970 262764 328455 437940 656910 1313820