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20195456 = 27179281
BaseRepresentation
bin100110100001…
…0100010000000
31102000000221212
41031002202000
520132223311
62000505252
7333441611
oct115024200
942000855
1020195456
1110444166
12691b228
134251398
142979c08
151b8dc8b
hex1342880

20195456 has 32 divisors (see below), whose sum is σ = 42604380. Its totient is φ = 9502720.

The previous prime is 20195447. The next prime is 20195459. The reversal of 20195456 is 65459102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17505856 + 2689600 = 4184^2 + 1640^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20195459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2465 + ... + 6816.

Almost surely, 220195456 is an apocalyptic number.

It is an amenable number.

20195456 is an abundant number, since it is smaller than the sum of its proper divisors (22408924).

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

20195456 is an equidigital number, since it uses as much as digits as its factorization.

20195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 20195456 is about 4493.9354690516. The cubic root of 20195456 is about 272.3231453519.

The spelling of 20195456 in words is "twenty million, one hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 9281 18562 37124 74248 148496 157777 296992 315554 593984 631108 1187968 1262216 2524432 5048864 10097728 20195456