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20983829 = 12721301
BaseRepresentation
bin101000000001…
…1000000010101
31110111002101212
41100003000111
520332440304
62025431205
7343234226
oct120030025
943432355
1020983829
1110932509
12703b505
134469189
142b0324d
151c9766e
hex1403015

20983829 has 6 divisors (see below), whose sum is σ = 21166614. Its totient is φ = 20802600.

The previous prime is 20983799. The next prime is 20983891. The reversal of 20983829 is 92838902.

It can be written as a sum of positive squares in only one way, i.e., 10903204 + 10080625 = 3302^2 + 3175^2 .

It is not a de Polignac number, because 20983829 - 212 = 20979733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20983129) 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 5 ways as a sum of consecutive naturals, for example, 15479 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (3527769).

Almost surely, 220983829 is an apocalyptic number.

It is an amenable number.

20983829 is a deficient number, since it is larger than the sum of its proper divisors (182785).

20983829 is an equidigital number, since it uses as much as digits as its factorization.

20983829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 20983829 is about 4580.8109544053. The cubic root of 20983829 is about 275.8215826865.

It can be divided in two parts, 20983 and 829, that added together give a palindrome (21812).

The spelling of 20983829 in words is "twenty million, nine hundred eighty-three thousand, eight hundred twenty-nine".

Divisors: 1 127 1301 16129 165227 20983829