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20003466 = 2372193581
BaseRepresentation
bin100110001001…
…1101010001010
31101122021121010
41030103222022
520110102331
61552424350
7332012100
oct114235212
941567533
1020003466
111032299a
1268480b6
1341b4b92
142929c70
151b51e46
hex1313a8a

20003466 has 48 divisors (see below), whose sum is σ = 49001760. Its totient is φ = 5412960.

The previous prime is 20003461. The next prime is 20003497. The reversal of 20003466 is 66430002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20003461) 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 23 ways as a sum of consecutive naturals, for example, 3796 + ... + 7376.

It is an arithmetic number, because the mean of its divisors is an integer number (1020870).

Almost surely, 220003466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20003466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500880).

20003466 is an abundant number, since it is smaller than the sum of its proper divisors (28998294).

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

20003466 is a wasteful number, since it uses less digits than its factorization.

20003466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20003466 is about 4472.5234487926. The cubic root of 20003466 is about 271.4574410395.

Adding to 20003466 its reverse (66430002), we get a palindrome (86433468).

The spelling of 20003466 in words is "twenty million, three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 3581 5586 7162 10743 21486 25067 50134 68039 75201 136078 150402 175469 204117 350938 408234 476273 526407 952546 1052814 1428819 2857638 3333911 6667822 10001733 20003466