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20534136 = 2337219919
BaseRepresentation
bin100111001010…
…1001101111000
31102122020112120
41032111031320
520224043021
62012041240
7336352200
oct116251570
942566476
1020534136
1110655667
126a63220
13433c59c
142a27400
151c092c6
hex1395378

20534136 has 96 divisors (see below), whose sum is σ = 62928000. Its totient is φ = 5552064.

The previous prime is 20534099. The next prime is 20534141. The reversal of 20534136 is 63143502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 21885 + ... + 22803.

It is an arithmetic number, because the mean of its divisors is an integer number (655500).

Almost surely, 220534136 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 20534136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31464000).

20534136 is an abundant number, since it is smaller than the sum of its proper divisors (42393864).

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

20534136 is a wasteful number, since it uses less digits than its factorization.

20534136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 20534136 is about 4531.4606916534. The cubic root of 20534136 is about 273.8370103512.

Adding to 20534136 its reverse (63143502), we get a palindrome (83677638).

The spelling of 20534136 in words is "twenty million, five hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 919 931 1064 1176 1596 1838 1862 2757 2793 3192 3676 3724 5514 5586 6433 7352 7448 11028 11172 12866 17461 19299 22056 22344 25732 34922 38598 45031 51464 52383 69844 77196 90062 104766 122227 135093 139688 154392 180124 209532 244454 270186 360248 366681 419064 488908 540372 733362 855589 977816 1080744 1466724 1711178 2566767 2933448 3422356 5133534 6844712 10267068 20534136