Search a number
-
+
20525596 = 227131731107
BaseRepresentation
bin100111001001…
…1001000011100
31102121210211021
41032103020130
520223304341
62011533524
7336315250
oct116231034
942553737
1020525596
111064a203
126a5a2a4
134338730
142a24260
151c069d1
hex139321c

20525596 has 96 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 7326720.

The previous prime is 20525587. The next prime is 20525597. The reversal of 20525596 is 69552502.

20525596 = T433 + T434 + ... + T588.

20525596 = 3192 + 3202 + ... + 4542.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525597) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 191775 + ... + 191881.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 220525596 is an apocalyptic number.

20525596 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20525596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

20525596 is an abundant number, since it is smaller than the sum of its proper divisors (28245476).

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

20525596 is a wasteful number, since it uses less digits than its factorization.

20525596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 20525596 is about 4530.5182926460. The cubic root of 20525596 is about 273.7990428039.

It can be divided in two parts, 205 and 25596, that multiplied together give a triangular number (5247180 = T3239).

The spelling of 20525596 in words is "twenty million, five hundred twenty-five thousand, five hundred ninety-six".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 107 119 124 182 214 217 221 238 364 403 428 434 442 476 527 749 806 868 884 1054 1391 1498 1547 1612 1819 2108 2782 2821 2996 3094 3317 3638 3689 5564 5642 6188 6634 6851 7276 7378 9737 11284 12733 13268 13702 14756 19474 23219 23647 25466 27404 38948 43121 46438 47294 47957 50932 56389 86242 92876 94588 95914 112778 165529 172484 191828 225556 301847 331058 394723 603694 662116 733057 789446 1207388 1466114 1578892 2932228 5131399 10262798 20525596