Search a number
-
+
1313840 = 245111493
BaseRepresentation
bin101000000110000110000
32110202020202
411000300300
5314020330
644054332
714111303
oct5006060
92422222
101313840
11818120
125343a8
13370028
14262b3a
151ae445
hex140c30

1313840 has 40 divisors (see below), whose sum is σ = 3334608. Its totient is φ = 477440.

The previous prime is 1313839. The next prime is 1313843. The reversal of 1313840 is 483131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1313843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134 + ... + 1626.

21313840 is an apocalyptic number.

1313840 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 1313840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667304).

1313840 is an abundant number, since it is smaller than the sum of its proper divisors (2020768).

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

1313840 is a wasteful number, since it uses less digits than its factorization.

1313840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1313840 is about 1146.2285984916. The cubic root of 1313840 is about 109.5252264947.

Adding to 1313840 its reverse (483131), we get a palindrome (1796971).

The spelling of 1313840 in words is "one million, three hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1493 2986 5972 7465 11944 14930 16423 23888 29860 32846 59720 65692 82115 119440 131384 164230 262768 328460 656920 1313840