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20534436 = 223213172989
BaseRepresentation
bin100111001010…
…1010010100100
31102122020221200
41032111102210
520224100221
62012042500
7336353106
oct116252244
942566850
1020534436
111065590a
126a63430
13433c770
142a27576
151c09426
hex13954a4

20534436 has 144 divisors (see below), whose sum is σ = 61916400. Its totient is φ = 5677056.

The previous prime is 20534429. The next prime is 20534443. The reversal of 20534436 is 63443502.

20534436 is a nontrivial binomial coefficient, being equal to C(6409, 2).

It is an interprime number because it is at equal distance from previous prime (20534429) and next prime (20534443).

It can be written as a sum of positive squares in 8 ways, for example, as 820836 + 19713600 = 906^2 + 4440^2 .

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 47 ways as a sum of consecutive naturals, for example, 230680 + ... + 230768.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 220534436 is an apocalyptic number.

20534436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20534436 is the 6408-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20534436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30958200).

20534436 is an abundant number, since it is smaller than the sum of its proper divisors (41381964).

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

20534436 is a wasteful number, since it uses less digits than its factorization.

20534436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 20534436 is about 4531.4937934416. The cubic root of 20534436 is about 273.8383439144.

Adding to 20534436 its reverse (63443502), we get a palindrome (83977938).

The spelling of 20534436 in words is "twenty million, five hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 29 34 36 39 51 52 58 68 78 87 89 102 116 117 153 156 174 178 204 221 234 261 267 306 348 356 377 442 468 493 522 534 612 663 754 801 884 986 1044 1068 1131 1157 1326 1479 1508 1513 1602 1972 1989 2262 2314 2581 2652 2958 3026 3204 3393 3471 3978 4437 4524 4539 4628 5162 5916 6052 6409 6786 6942 7743 7956 8874 9078 10324 10413 12818 13572 13617 13884 15486 17748 18156 19227 19669 20826 23229 25636 27234 30972 33553 38454 39338 41652 43877 46458 54468 57681 59007 67106 76908 78676 87754 92916 100659 115362 118014 131631 134212 175508 177021 201318 230724 236028 263262 301977 354042 394893 402636 526524 570401 603954 708084 789786 1140802 1207908 1579572 1711203 2281604 3422406 5133609 6844812 10267218 20534436