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1828240 = 24522853
BaseRepresentation
bin110111110010110010000
310102212212121
412332112100
5432000430
6103104024
721353101
oct6762620
93385777
101828240
111039647
12742014
134c01cb
143583a8
15261a7a
hex1be590

1828240 has 20 divisors (see below), whose sum is σ = 4250844. Its totient is φ = 731264.

The previous prime is 1828223. The next prime is 1828243. The reversal of 1828240 is 428281.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 1354896 = 688^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×18282402 = 6684922995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1828243) 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, 11347 + ... + 11506.

21828240 is an apocalyptic number.

1828240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828240 is an abundant number, since it is smaller than the sum of its proper divisors (2422604).

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

1828240 is a wasteful number, since it uses less digits than its factorization.

1828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22866 (or 22860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 1828240 is about 1352.1242546453. The cubic root of 1828240 is about 122.2768950380.

The spelling of 1828240 in words is "one million, eight hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 22853 45706 91412 114265 182824 228530 365648 457060 914120 1828240