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20300448 = 2537171777
BaseRepresentation
bin100110101110…
…0001010100000
31102012100222110
41031130022200
520144103243
62003035320
7334356660
oct115341240
942170873
1020300448
1110506033
12696bb40
13428a0cc
1429a61a0
151baee33
hex135c2a0

20300448 has 96 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 5455872.

The previous prime is 20300419. The next prime is 20300459. The reversal of 20300448 is 84400302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10536 + ... + 12312.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 220300448 is an apocalyptic number.

20300448 is a gapful number since it is divisible by the number (28) 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 20300448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

20300448 is an abundant number, since it is smaller than the sum of its proper divisors (44219616).

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

20300448 is a wasteful number, since it uses less digits than its factorization.

20300448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20300448 is about 4505.6018465905. The cubic root of 20300448 is about 272.7942471475.

The spelling of 20300448 in words is "twenty million, three hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1777 1904 2856 3554 3808 5331 5712 7108 10662 11424 12439 14216 21324 24878 28432 30209 37317 42648 49756 56864 60418 74634 85296 90627 99512 120836 149268 170592 181254 199024 211463 241672 298536 362508 398048 422926 483344 597072 634389 725016 845852 966688 1194144 1268778 1450032 1691704 2537556 2900064 3383408 5075112 6766816 10150224 20300448