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20313144 = 2332282127
BaseRepresentation
bin100110101111…
…1010000111000
31102020000101200
41031133100320
520200010034
62003214200
7334441665
oct115372070
942200350
1020313144
1110514625
126977360
134292b17
1429aaa6c
151bb3a99
hex135f438

20313144 has 24 divisors (see below), whose sum is σ = 55014960. Its totient is φ = 6771024.

The previous prime is 20313143. The next prime is 20313197. The reversal of 20313144 is 44131302.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313143) 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 5 ways as a sum of consecutive naturals, for example, 140992 + ... + 141135.

It is an arithmetic number, because the mean of its divisors is an integer number (2292290).

Almost surely, 220313144 is an apocalyptic number.

20313144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20313144 is an abundant number, since it is smaller than the sum of its proper divisors (34701816).

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

20313144 is a wasteful number, since it uses less digits than its factorization.

20313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282139 (or 282132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20313144 is about 4507.0105391490. The cubic root of 20313144 is about 272.8511042508.

Adding to 20313144 its reverse (44131302), we get a palindrome (64444446).

The spelling of 20313144 in words is "twenty million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 282127 564254 846381 1128508 1692762 2257016 2539143 3385524 5078286 6771048 10156572 20313144