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20295460 = 2257313901
BaseRepresentation
bin100110101101…
…0111100100100
31102012010010201
41031122330210
520143423320
62003000244
7334336303
oct115327444
942163121
1020295460
1110502309
126969084
134287a63
1429a443a
151bad70a
hex135af24

20295460 has 24 divisors (see below), whose sum is σ = 43207416. Its totient is φ = 8006400.

The previous prime is 20295427. The next prime is 20295479. The reversal of 20295460 is 6459202.

It can be written as a sum of positive squares in 4 ways, for example, as 5116644 + 15178816 = 2262^2 + 3896^2 .

It is a super-2 number, since 2×202954602 = 823811393223200, which contains 22 as substring.

It is an unprimeable number.

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, 5491 + ... + 8410.

It is an arithmetic number, because the mean of its divisors is an integer number (1800309).

Almost surely, 220295460 is an apocalyptic number.

20295460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20295460 is an abundant number, since it is smaller than the sum of its proper divisors (22911956).

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

20295460 is a wasteful number, since it uses less digits than its factorization.

20295460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 20295460 is about 4505.0482794305. The cubic root of 20295460 is about 272.7719026626.

The spelling of 20295460 in words is "twenty million, two hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 13901 27802 55604 69505 139010 278020 1014773 2029546 4059092 5073865 10147730 20295460