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20434176 = 283272181
BaseRepresentation
bin100110111110…
…0110100000000
31102110011102100
41031330310000
520212343201
62005550400
7335454600
oct115746400
942404370
1020434176
1110597554
126a15400
134305c39
1429dcc00
151bd9886
hex137cd00

20434176 has 162 divisors, whose sum is σ = 68914482. Its totient is φ = 5806080.

The previous prime is 20434171. The next prime is 20434181. The reversal of 20434176 is 67143402.

It is an interprime number because it is at equal distance from previous prime (20434171) and next prime (20434181).

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 9144576 = 3360^2 + 3024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112806 + ... + 112986.

Almost surely, 220434176 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 20434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34457241).

20434176 is an abundant number, since it is smaller than the sum of its proper divisors (48480306).

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

20434176 is a wasteful number, since it uses less digits than its factorization.

20434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20434176 is about 4520.4176798168. The cubic root of 20434176 is about 273.3919419566.

Adding to 20434176 its reverse (67143402), we get a palindrome (87577578).

The spelling of 20434176 in words is "twenty million, four hundred thirty-four thousand, one hundred seventy-six".