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20803419 = 337138467
BaseRepresentation
bin100111101011…
…0111101011011
31110010220221000
41033112331123
520311202134
62021520043
7341553240
oct117267533
943126830
1020803419
1110819a0a
126b73023
134405020
142a975c7
151c5de99
hex13d6f5b

20803419 has 32 divisors (see below), whose sum is σ = 37936640. Its totient is φ = 10971936.

The previous prime is 20803417. The next prime is 20803487. The reversal of 20803419 is 91430802.

It is not a de Polignac number, because 20803419 - 21 = 20803417 is a prime.

It is a super-2 number, since 2×208034192 = 865564484179122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20803392 and 20803401.

It is not an unprimeable number, because it can be changed into a prime (20803417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777 + ... + 6690.

It is an arithmetic number, because the mean of its divisors is an integer number (1185520).

Almost surely, 220803419 is an apocalyptic number.

20803419 is a deficient number, since it is larger than the sum of its proper divisors (17133221).

20803419 is a wasteful number, since it uses less digits than its factorization.

20803419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20803419 is about 4561.0765176655. The cubic root of 20803419 is about 275.0288410523.

The spelling of 20803419 in words is "twenty million, eight hundred three thousand, four hundred nineteen".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 8467 25401 59269 76203 110071 177807 228609 330213 533421 770497 990639 1600263 2311491 2971917 6934473 20803419