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20478560 = 255149859
BaseRepresentation
bin100111000011…
…1101001100000
31102112102022012
41032013221200
520220303220
62010532052
7336031154
oct116075140
942472265
1020478560
1110617933
126a37028
1343201bb
142a11064
151be7ac5
hex1387a60

20478560 has 48 divisors (see below), whose sum is σ = 48762000. Its totient is φ = 8126976.

The previous prime is 20478559. The next prime is 20478571. The reversal of 20478560 is 6587402.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 23411 + ... + 24269.

It is an arithmetic number, because the mean of its divisors is an integer number (1015875).

Almost surely, 220478560 is an apocalyptic number.

20478560 is a gapful number since it is divisible by the number (20) 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 20478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24381000).

20478560 is an abundant number, since it is smaller than the sum of its proper divisors (28283440).

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

20478560 is a wasteful number, since it uses less digits than its factorization.

20478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 20478560 is about 4525.3242977714. The cubic root of 20478560 is about 273.5897389082.

The spelling of 20478560 in words is "twenty million, four hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 859 1192 1490 1718 2384 2980 3436 4295 4768 5960 6872 8590 11920 13744 17180 23840 27488 34360 68720 127991 137440 255982 511964 639955 1023928 1279910 2047856 2559820 4095712 5119640 10239280 20478560