Search a number
-
+
103440 = 2435431
BaseRepresentation
bin11001010000010000
312020220010
4121100100
511302230
62114520
7610401
oct312020
9166803
10103440
1170797
124ba40
133810c
14299a8
15209b0
hex19410

103440 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 27520.

The previous prime is 103423. The next prime is 103451. The reversal of 103440 is 44301.

Adding to 103440 its reverse (44301), we get a palindrome (147741).

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 (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 455.

2103440 is an apocalyptic number.

103440 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 103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

103440 is an abundant number, since it is smaller than the sum of its proper divisors (217968).

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

103440 is a wasteful number, since it uses less digits than its factorization.

103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103440 is about 321.6208948436. The cubic root of 103440 is about 46.9421349138.

The spelling of 103440 in words is "one hundred three thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 6465 6896 8620 10344 12930 17240 20688 25860 34480 51720 103440