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21830440 = 2354011361
BaseRepresentation
bin101001101000…
…1101100101000
31112002002201211
41103101230220
521042033230
62055522504
7353361412
oct123215450
945062654
1021830440
1111360595
127389434
1346a4628
142c839b2
151db342a
hex14d1b28

21830440 has 32 divisors (see below), whose sum is σ = 49277160. Its totient is φ = 8704000.

The previous prime is 21830387. The next prime is 21830453. The reversal of 21830440 is 4403812.

It can be written as a sum of positive squares in 4 ways, for example, as 19909444 + 1920996 = 4462^2 + 1386^2 .

It is a super-2 number, since 2×218304402 = 953136221187200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15360 + ... + 16720.

Almost surely, 221830440 is an apocalyptic number.

21830440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21830440 is an abundant number, since it is smaller than the sum of its proper divisors (27446720).

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

21830440 is a wasteful number, since it uses less digits than its factorization.

21830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 21830440 is about 4672.3056406875. The cubic root of 21830440 is about 279.4822063188.

The spelling of 21830440 in words is "twenty-one million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1361 1604 2005 2722 3208 4010 5444 6805 8020 10888 13610 16040 27220 54440 545761 1091522 2183044 2728805 4366088 5457610 10915220 21830440