Search a number
-
+
20623932 = 22327223367
BaseRepresentation
bin100111010101…
…1001000111100
31102210210201100
41032223020330
520234431212
62014013100
7340205040
oct116531074
942723640
1020623932
111070707a
126aa7190
134371414
142a4c020
151c25bdc
hex13ab23c

20623932 has 72 divisors (see below), whose sum is σ = 60010496. Its totient is φ = 5850144.

The previous prime is 20623931. The next prime is 20623937. The reversal of 20623932 is 23932602.

20623932 is a `hidden beast` number, since 2 + 0 + 623 + 9 + 32 = 666.

It is a super-2 number, since 2×206239322 = 850693142281248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20623896 and 20623905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20623931) 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 23 ways as a sum of consecutive naturals, for example, 56013 + ... + 56379.

Almost surely, 220623932 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 20623932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30005248).

20623932 is an abundant number, since it is smaller than the sum of its proper divisors (39386564).

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

20623932 is a wasteful number, since it uses less digits than its factorization.

20623932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 20623932 is about 4541.3579466939. The cubic root of 20623932 is about 274.2355939857.

The spelling of 20623932 in words is "twenty million, six hundred twenty-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 367 446 669 734 892 1101 1338 1468 1561 2007 2202 2569 2676 3122 3303 4014 4404 4683 5138 6244 6606 7707 8028 9366 10276 13212 14049 15414 18732 23121 28098 30828 46242 56196 81841 92484 163682 245523 327364 491046 572887 736569 982092 1145774 1473138 1718661 2291548 2946276 3437322 5155983 6874644 10311966 20623932