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20465456 = 24113312
BaseRepresentation
bin100111000010…
…0011100110000
31102111202022212
41032010130300
520214343311
62010351252
7335645024
oct116043460
942452285
1020465456
1110609000
126a2b528
13431724b
142a0a384
151be3c8b
hex1384730

20465456 has 60 divisors (see below), whose sum is σ = 45066312. Its totient is φ = 9002400.

The previous prime is 20465449. The next prime is 20465491. The reversal of 20465456 is 65456402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660161 + ... + 660191.

Almost surely, 220465456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22533156).

20465456 is an abundant number, since it is smaller than the sum of its proper divisors (24600856).

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

20465456 is an equidigital number, since it uses as much as digits as its factorization.

20465456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 20465456 is about 4523.8762140448. The cubic root of 20465456 is about 273.5313707921.

The spelling of 20465456 in words is "twenty million, four hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1331 1364 1922 1936 2662 2728 3751 3844 5324 5456 7502 7688 10571 10648 15004 15376 21142 21296 30008 41261 42284 60016 82522 84568 116281 165044 169136 232562 330088 465124 660176 930248 1279091 1860496 2558182 5116364 10232728 20465456