Search a number
BaseRepresentation
bin101100000010001000000
32201022021000
411200101000
5332133010
650532000
715156435
oct5402100
92638230
101442880
118a606a
12597000
133b699a
14297b8c
151d77c0
hex160440

1442880 has 112 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 382464.

The previous prime is 1442873. The next prime is 1442887. The reversal of 1442880 is 882441.

It is an interprime number because it is at equal distance from previous prime (1442873) and next prime (1442887).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8557 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

21442880 is an apocalyptic number.

1442880 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 1442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

1442880 is an abundant number, since it is smaller than the sum of its proper divisors (3677760).

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

1442880 is a wasteful number, since it uses less digits than its factorization.

1442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1442880 is about 1201.1994005993. The cubic root of 1442880 is about 112.9995562151. Note that the first 3 decimals are identical.

The spelling of 1442880 in words is "one million, four hundred forty-two thousand, eight hundred eighty".