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20480640 = 273510667
BaseRepresentation
bin100111000100…
…0001010000000
31102112112011020
41032020022000
520220340030
62010545440
7336040215
oct116101200
942475136
1020480640
1110619454
126a38280
13432112b
142a11b0c
151be8510
hex1388280

20480640 has 64 divisors (see below), whose sum is σ = 65288160. Its totient is φ = 5460992.

The previous prime is 20480639. The next prime is 20480657. The reversal of 20480640 is 4608402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×204806402 = 838913229619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20480640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3414 + ... + 7253.

Almost surely, 220480640 is an apocalyptic number.

20480640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20480640 is an abundant number, since it is smaller than the sum of its proper divisors (44807520).

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

20480640 is a wasteful number, since it uses less digits than its factorization.

20480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20480640 is about 4525.5541097196. The cubic root of 20480640 is about 273.5990013985.

The spelling of 20480640 in words is "twenty million, four hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 10667 21334 32001 42668 53335 64002 85336 106670 128004 160005 170672 213340 256008 320010 341344 426680 512016 640020 682688 853360 1024032 1280040 1365376 1706720 2048064 2560080 3413440 4096128 5120160 6826880 10240320 20480640