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20430848 = 2142943
BaseRepresentation
bin100110111110…
…0000000000000
31102102222212002
41031330000000
520212241343
62005523132
7335442104
oct115740000
942388762
1020430848
1110594aa9
126a134a8
134304579
1429db904
151bd88b8
hex137c000

20430848 has 60 divisors (see below), whose sum is σ = 43252440. Its totient is φ = 9633792.

The previous prime is 20430841. The next prime is 20430857. The reversal of 20430848 is 84803402.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 20430848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475115 + ... + 475157.

It is an arithmetic number, because the mean of its divisors is an integer number (720874).

Almost surely, 220430848 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 20430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21626220).

20430848 is an abundant number, since it is smaller than the sum of its proper divisors (22821592).

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

20430848 is an frugal number, since it uses more digits than its factorization.

20430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 20430848 is about 4520.0495572505. The cubic root of 20430848 is about 273.3770992117.

The spelling of 20430848 in words is "twenty million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 232 256 344 464 512 688 928 1024 1247 1376 1856 2048 2494 2752 3712 4096 4988 5504 7424 8192 9976 11008 14848 16384 19952 22016 29696 39904 44032 59392 79808 88064 118784 159616 176128 237568 319232 352256 475136 638464 704512 1276928 2553856 5107712 10215424 20430848