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20608480 = 255151853
BaseRepresentation
bin100111010011…
…1010111100000
31102210000112001
41032213113200
520233432410
62013413344
7340112014
oct116472740
942700461
1020608480
11106a6502
126a9a254
134367389
142a46544
151c2133a
hex13a75e0

20608480 has 48 divisors (see below), whose sum is σ = 49067424. Its totient is φ = 8179200.

The previous prime is 20608477. The next prime is 20608501. The reversal of 20608480 is 8480602.

20608480 = T364 + T365 + ... + T555.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23734 + ... + 24586.

It is an arithmetic number, because the mean of its divisors is an integer number (1022238).

Almost surely, 220608480 is an apocalyptic number.

20608480 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 20608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24533712).

20608480 is an abundant number, since it is smaller than the sum of its proper divisors (28458944).

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

20608480 is a wasteful number, since it uses less digits than its factorization.

20608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 20608480 is about 4539.6563746610. The cubic root of 20608480 is about 274.1670886667.

The spelling of 20608480 in words is "twenty million, six hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 853 1208 1510 1706 2416 3020 3412 4265 4832 6040 6824 8530 12080 13648 17060 24160 27296 34120 68240 128803 136480 257606 515212 644015 1030424 1288030 2060848 2576060 4121696 5152120 10304240 20608480