Search a number
-
+
20005734 = 2372391993
BaseRepresentation
bin100110001010…
…0001101100110
31101122101201010
41030110031212
520110140414
61552443050
7332021520
oct114241546
941571633
1020005734
1110324671
126849486
1341b5c18
14292aa10
151b52959
hex1314366

20005734 has 32 divisors (see below), whose sum is σ = 45941760. Its totient is φ = 5689152.

The previous prime is 20005729. The next prime is 20005763. The reversal of 20005734 is 43750002.

It is a happy number.

20005734 is nontrivially palindromic in base 12.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20005734.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9042 + ... + 11034.

It is an arithmetic number, because the mean of its divisors is an integer number (1435680).

Almost surely, 220005734 is an apocalyptic number.

20005734 is an abundant number, since it is smaller than the sum of its proper divisors (25936026).

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

20005734 is a wasteful number, since it uses less digits than its factorization.

20005734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20005734 is about 4472.7769897459. The cubic root of 20005734 is about 271.4676999652.

Adding to 20005734 its reverse (43750002), we get a palindrome (63755736).

The spelling of 20005734 in words is "twenty million, five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 239 478 717 1434 1673 1993 3346 3986 5019 5979 10038 11958 13951 27902 41853 83706 476327 952654 1428981 2857962 3334289 6668578 10002867 20005734