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20590464 = 27329432
BaseRepresentation
bin100111010001…
…0111110000000
31102202002210210
41032202332000
520232343324
62013154120
7340005336
oct116427600
942662723
1020590464
1110693a14
126a8b940
13435c10b
142a3db56
151c1ad29
hex13a2f80

20590464 has 96 divisors (see below), whose sum is σ = 57925800. Its totient is φ = 6472704.

The previous prime is 20590457. The next prime is 20590477. The reversal of 20590464 is 46409502.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 478827 + ... + 478869.

Almost surely, 220590464 is an apocalyptic number.

20590464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962900).

20590464 is an abundant number, since it is smaller than the sum of its proper divisors (37335336).

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

20590464 is an equidigital number, since it uses as much as digits as its factorization.

20590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20590464 is about 4537.6716496459. The cubic root of 20590464 is about 274.0871727888.

Adding to 20590464 its reverse (46409502), we get a palindrome (66999966).

The spelling of 20590464 in words is "twenty million, five hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 64 86 87 96 116 128 129 172 174 192 232 258 344 348 384 464 516 688 696 928 1032 1247 1376 1392 1849 1856 2064 2494 2752 2784 3698 3712 3741 4128 4988 5504 5547 5568 7396 7482 8256 9976 11094 11136 14792 14964 16512 19952 22188 29584 29928 39904 44376 53621 59168 59856 79808 88752 107242 118336 119712 159616 160863 177504 214484 236672 239424 321726 355008 428968 478848 643452 710016 857936 1286904 1715872 2573808 3431744 5147616 6863488 10295232 20590464