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20618136 = 23327113719
BaseRepresentation
bin100111010100…
…1101110011000
31102210111202200
41032221232120
520234240021
62013530200
7340152120
oct116515630
942714680
1020618136
1110702790
126aa3960
13436b8a6
142a49c80
151c24126
hex13a9b98

20618136 has 96 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 5353920.

The previous prime is 20618123. The next prime is 20618141. The reversal of 20618136 is 63181602.

It is a super-2 number, since 2×206181362 = 850215064228992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3685 + ... + 7403.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 220618136 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 20618136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20618136 is an abundant number, since it is smaller than the sum of its proper divisors (49020264).

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

20618136 is a wasteful number, since it uses less digits than its factorization.

20618136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3742 counting only the distinct ones).

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

The square root of 20618136 is about 4540.7197667330. The cubic root of 20618136 is about 274.2099018525.

Adding to 20618136 its reverse (63181602), we get a palindrome (83799738).

The spelling of 20618136 in words is "twenty million, six hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 3719 5544 7438 11157 14876 22314 26033 29752 33471 40909 44628 52066 66942 78099 81818 89256 104132 122727 133884 156198 163636 208264 234297 245454 267768 286363 312396 327272 368181 468594 490908 572726 624792 736362 859089 937188 981816 1145452 1472724 1718178 1874376 2290904 2577267 2945448 3436356 5154534 6872712 10309068 20618136