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20573532 = 223272107109
BaseRepresentation
bin100111001111…
…0110101011100
31102201020120200
41032132311130
520231323112
62012543500
7336605100
oct116366534
942636520
1020573532
1110682221
126a81b90
1343544b5
142a37900
151c15cdc
hex139ed5c

20573532 has 108 divisors (see below), whose sum is σ = 61621560. Its totient is φ = 5769792.

The previous prime is 20573521. The next prime is 20573533. The reversal of 20573532 is 23537502.

It is a junction number, because it is equal to n+sod(n) for n = 20573496 and 20573505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20573533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188694 + ... + 188802.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 220573532 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 20573532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30810780).

20573532 is an abundant number, since it is smaller than the sum of its proper divisors (41048028).

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

20573532 is a wasteful number, since it uses less digits than its factorization.

20573532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 20573532 is about 4535.8055513878. The cubic root of 20573532 is about 274.0120228443.

It can be divided in two parts, 205 and 73532, that added together give a palindrome (73737).

The spelling of 20573532 in words is "twenty million, five hundred seventy-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 109 126 147 196 214 218 252 294 321 327 428 436 441 588 642 654 749 763 882 963 981 1284 1308 1498 1526 1764 1926 1962 2247 2289 2996 3052 3852 3924 4494 4578 5243 5341 6741 6867 8988 9156 10486 10682 11663 13482 13734 15729 16023 20972 21364 23326 26964 27468 31458 32046 34989 46652 47187 48069 62916 64092 69978 81641 94374 96138 104967 139956 163282 188748 192276 209934 244923 326564 419868 489846 571487 734769 979692 1142974 1469538 1714461 2285948 2939076 3428922 5143383 6857844 10286766 20573532