Search a number
-
+
20336004 = 223213192287
BaseRepresentation
bin100110110010…
…0110110000100
31102021011202100
41031210312010
520201223004
62003512100
7334565433
oct115446604
942234670
1020336004
111052a817
126988630
1342a0350
1429b511a
151bba739
hex1364d84

20336004 has 72 divisors (see below), whose sum is σ = 58298240. Its totient is φ = 5925312.

The previous prime is 20335999. The next prime is 20336027. The reversal of 20336004 is 40063302.

20336004 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 7749 + ... + 10035.

Almost surely, 220336004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20336004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29149120).

20336004 is an abundant number, since it is smaller than the sum of its proper divisors (37962236).

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

20336004 is a wasteful number, since it uses less digits than its factorization.

20336004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20336004 is about 4509.5458751409. The cubic root of 20336004 is about 272.9534195776.

Adding to 20336004 its reverse (40063302), we get a palindrome (60399306).

The spelling of 20336004 in words is "twenty million, three hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2287 2964 4446 4574 6861 8892 9148 13722 20583 27444 29731 41166 43453 59462 82332 86906 89193 118924 130359 173812 178386 260718 267579 356772 391077 521436 535158 564889 782154 1070316 1129778 1564308 1694667 2259556 3389334 5084001 6778668 10168002 20336004