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1313424 = 243271303
BaseRepresentation
bin101000000101010010000
32110201200100
411000222100
5314012144
644052400
714110140
oct5005220
92421610
101313424
11817882
12534100
1336ca98
14262920
151ae269
hex140a90

1313424 has 60 divisors (see below), whose sum is σ = 4204096. Its totient is φ = 374976.

The previous prime is 1313423. The next prime is 1313443. The reversal of 1313424 is 4243131.

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 d-powerful number, because it can be written as 1 + 3 + 1 + 37 + 49 + 29 + 410 .

It is a junction number, because it is equal to n+sod(n) for n = 1313397 and 1313406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357 + ... + 1659.

21313424 is an apocalyptic number.

1313424 is a gapful number since it is divisible by the number (14) 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 1313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102048).

1313424 is an abundant number, since it is smaller than the sum of its proper divisors (2890672).

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

1313424 is a wasteful number, since it uses less digits than its factorization.

1313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1315 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 1313424 is about 1146.0471194502. The cubic root of 1313424 is about 109.5136656492.

Adding to 1313424 its reverse (4243131), we get a palindrome (5556555).

The spelling of 1313424 in words is "one million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1303 2606 3909 5212 7818 9121 10424 11727 15636 18242 20848 23454 27363 31272 36484 46908 54726 62544 72968 82089 93816 109452 145936 164178 187632 218904 328356 437808 656712 1313424