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20021136 = 2431929757
BaseRepresentation
bin100110001011…
…1111110010000
31101200011211120
41030113332100
520111134021
61553042240
7332114442
oct114277620
941604746
1020021136
11103351a3
126856380
1341bcc35
142932492
151b572c6
hex1317f90

20021136 has 80 divisors (see below), whose sum is σ = 56395200. Its totient is φ = 6096384.

The previous prime is 20021093. The next prime is 20021137. The reversal of 20021136 is 63112002.

It is not an unprimeable number, because it can be changed into a prime (20021137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26070 + ... + 26826.

It is an arithmetic number, because the mean of its divisors is an integer number (704940).

Almost surely, 220021136 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 20021136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28197600).

20021136 is an abundant number, since it is smaller than the sum of its proper divisors (36374064).

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

20021136 is a wasteful number, since it uses less digits than its factorization.

20021136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20021136 is about 4474.4984076430. The cubic root of 20021136 is about 271.5373478801.

Adding to 20021136 its reverse (63112002), we get a palindrome (83133138).

The spelling of 20021136 in words is "twenty million, twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 757 912 1102 1392 1514 1653 2204 2271 3028 3306 4408 4542 6056 6612 8816 9084 12112 13224 14383 18168 21953 26448 28766 36336 43149 43906 57532 65859 86298 87812 115064 131718 172596 175624 230128 263436 345192 351248 417107 526872 690384 834214 1053744 1251321 1668428 2502642 3336856 5005284 6673712 10010568 20021136