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20581840 = 245257273
BaseRepresentation
bin100111010000…
…0110111010000
31102201122222101
41032200313100
520232104330
62013050144
7336641236
oct116406720
942648871
1020581840
1110688494
126a86954
134358206
142a3a956
151c184ca
hex13a0dd0

20581840 has 20 divisors (see below), whose sum is σ = 47852964. Its totient is φ = 8232704.

The previous prime is 20581831. The next prime is 20581871. The reversal of 20581840 is 4818502.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 16613776 = 1992^2 + 4076^2 .

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

It is a super-2 number, since 2×205818402 = 847224275571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20581799 and 20581808.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 128557 + ... + 128716.

Almost surely, 220581840 is an apocalyptic number.

20581840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20581840 is an abundant number, since it is smaller than the sum of its proper divisors (27271124).

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

20581840 is a wasteful number, since it uses less digits than its factorization.

20581840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257286 (or 257280 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 20581840 is about 4536.7212830413. The cubic root of 20581840 is about 274.0489017093.

The spelling of 20581840 in words is "twenty million, five hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257273 514546 1029092 1286365 2058184 2572730 4116368 5145460 10290920 20581840