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1441024 = 2813433
BaseRepresentation
bin101011111110100000000
32201012201021
411133310000
5332103044
650515224
715151144
oct5376400
92635637
101441024
118a4732
12595b14
133b5ba0
14297224
151d6e84
hex15fd00

1441024 has 36 divisors (see below), whose sum is σ = 3104836. Its totient is φ = 663552.

The previous prime is 1441009. The next prime is 1441031. The reversal of 1441024 is 4201441.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 1254400 = 432^2 + 1120^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1440989 and 1441007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3112 + ... + 3544.

21441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552418).

1441024 is an abundant number, since it is smaller than the sum of its proper divisors (1663812).

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

1441024 is an equidigital number, since it uses as much as digits as its factorization.

1441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1441024 is about 1200.4265908418. The cubic root of 1441024 is about 112.9510843704.

Adding to 1441024 its reverse (4201441), we get a palindrome (5642465).

It can be divided in two parts, 144 and 1024, that multiplied together give a square (147456 = 3842).

The spelling of 1441024 in words is "one million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 433 832 866 1664 1732 3328 3464 5629 6928 11258 13856 22516 27712 45032 55424 90064 110848 180128 360256 720512 1441024