Search a number
-
+
20008919 = 7192331211
BaseRepresentation
bin100110001010…
…0111111010111
31101122120002002
41030110333113
520110241134
61552505515
7332034020
oct114247727
941576062
1020008919
1110326aa7
12684b29b
1341b74c8
14292bc47
151b5387e
hex1314fd7

20008919 has 32 divisors (see below), whose sum is σ = 26050560. Its totient is φ = 14968800.

The previous prime is 20008913. The next prime is 20008921. The reversal of 20008919 is 91980002.

It is not a de Polignac number, because 20008919 - 24 = 20008903 is a prime.

It is a super-2 number, since 2×200089192 = 800713679097122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20008891 and 20008900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20008913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94724 + ... + 94934.

It is an arithmetic number, because the mean of its divisors is an integer number (814080).

Almost surely, 220008919 is an apocalyptic number.

20008919 is a deficient number, since it is larger than the sum of its proper divisors (6041641).

20008919 is a wasteful number, since it uses less digits than its factorization.

20008919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 20008919 is about 4473.1330183664. The cubic root of 20008919 is about 271.4821054808.

The spelling of 20008919 in words is "twenty million, eight thousand, nine hundred nineteen".

Divisors: 1 7 19 23 31 133 161 211 217 437 589 713 1477 3059 4009 4123 4853 4991 6541 13547 28063 33971 45787 92207 94829 124279 150443 645449 869953 1053101 2858417 20008919