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20395424 = 257831097
BaseRepresentation
bin100110111001…
…1010110100000
31102101012021002
41031303112200
520210123144
62005051132
7335233610
oct115632640
942335232
1020395424
1110570425
1269b6aa8
1342c13ca
1429cca40
151bcd14e
hex13735a0

20395424 has 48 divisors (see below), whose sum is σ = 46484928. Its totient is φ = 8627712.

The previous prime is 20395423. The next prime is 20395429. The reversal of 20395424 is 42459302.

It is not an unprimeable number, because it can be changed into a prime (20395421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18044 + ... + 19140.

It is an arithmetic number, because the mean of its divisors is an integer number (968436).

Almost surely, 220395424 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 20395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242464).

20395424 is an abundant number, since it is smaller than the sum of its proper divisors (26089504).

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

20395424 is a wasteful number, since it uses less digits than its factorization.

20395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 20395424 is about 4516.1293161290. The cubic root of 20395424 is about 273.2190096293.

The spelling of 20395424 in words is "twenty million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1097 1162 1328 2194 2324 2656 4388 4648 7679 8776 9296 15358 17552 18592 30716 35104 61432 91051 122864 182102 245728 364204 637357 728408 1274714 1456816 2549428 2913632 5098856 10197712 20395424