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20281040 = 2451319501
BaseRepresentation
bin100110101011…
…1011011010000
31102011101100122
41031113123100
520142443130
62002405412
7334246253
oct115273320
942141318
1020281040
11104a249a
126960868
134281320
14299d09a
151ba92e5
hex13576d0

20281040 has 40 divisors (see below), whose sum is σ = 50783208. Its totient is φ = 7488000.

The previous prime is 20281039. The next prime is 20281043. The reversal of 20281040 is 4018202.

It can be written as a sum of positive squares in 4 ways, for example, as 425104 + 19855936 = 652^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×202810402 = 822641166963200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8711 + ... + 10790.

Almost surely, 220281040 is an apocalyptic number.

20281040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20281040 is an abundant number, since it is smaller than the sum of its proper divisors (30502168).

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

20281040 is a wasteful number, since it uses less digits than its factorization.

20281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19527 (or 19521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 20281040 is about 4503.4475682526. The cubic root of 20281040 is about 272.7072855386.

Adding to 20281040 its reverse (4018202), we get a palindrome (24299242).

The spelling of 20281040 in words is "twenty million, two hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 19501 39002 78004 97505 156008 195010 253513 312016 390020 507026 780040 1014052 1267565 1560080 2028104 2535130 4056208 5070260 10140520 20281040