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1801024 = 26107263
BaseRepresentation
bin110110111101101000000
310101111112121
412313231000
5430113044
6102334024
721210541
oct6675500
93344477
101801024
111020155
1272a314
134b09c4
1434c4c8
15258984
hex1b7b40

1801024 has 28 divisors (see below), whose sum is σ = 3621024. Its totient is φ = 888704.

The previous prime is 1801021. The next prime is 1801039. The reversal of 1801024 is 4201081.

It is a happy number.

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

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 1800989 and 1801007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6717 + ... + 6979.

21801024 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 1801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810512).

1801024 is an abundant number, since it is smaller than the sum of its proper divisors (1820000).

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

1801024 is a wasteful number, since it uses less digits than its factorization.

1801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1801024 is about 1342.0223545083. The cubic root of 1801024 is about 121.6671028528.

It can be divided in two parts, 1 and 801024, that added together give a square (801025 = 8952).

The spelling of 1801024 in words is "one million, eight hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 107 214 263 428 526 856 1052 1712 2104 3424 4208 6848 8416 16832 28141 56282 112564 225128 450256 900512 1801024