Search a number
-
+
20018352 = 2432973197
BaseRepresentation
bin100110001011…
…1010010110000
31101200001000110
41030113102300
520111041402
61553021320
7332103354
oct114272260
941601013
1020018352
11103330a2
126854840
1341bb8a3
142931464
151b5656c
hex13174b0

20018352 has 80 divisors (see below), whose sum is σ = 54505440. Its totient is φ = 6322176.

The previous prime is 20018351. The next prime is 20018357. The reversal of 20018352 is 25381002.

It is not an unprimeable number, because it can be changed into a prime (20018351) 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 15 ways as a sum of consecutive naturals, for example, 101518 + ... + 101714.

It is an arithmetic number, because the mean of its divisors is an integer number (681318).

Almost surely, 220018352 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 20018352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27252720).

20018352 is an abundant number, since it is smaller than the sum of its proper divisors (34487088).

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

20018352 is a wasteful number, since it uses less digits than its factorization.

20018352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20018352 is about 4474.1873005050. The cubic root of 20018352 is about 271.5247612647.

Adding to 20018352 its reverse (25381002), we get a palindrome (45399354).

The spelling of 20018352 in words is "twenty million, eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 197 219 232 292 348 394 438 464 584 591 696 788 876 1168 1182 1392 1576 1752 2117 2364 3152 3504 4234 4728 5713 6351 8468 9456 11426 12702 14381 16936 17139 22852 25404 28762 33872 34278 43143 45704 50808 57524 68556 86286 91408 101616 115048 137112 172572 230096 274224 345144 417049 690288 834098 1251147 1668196 2502294 3336392 5004588 6672784 10009176 20018352