Search a number
-
+
207028932 = 2231110914389
BaseRepresentation
bin11000101011100…
…00001011000100
3112102120011022020
430111300023010
5410444411212
632313203140
75062500615
oct1425601304
9472504266
10207028932
11a69539a0
12594004b0
1333b78736
141d6d1c0c
1513296d8c
hexc5702c4

207028932 has 48 divisors (see below), whose sum is σ = 531854400. Its totient is φ = 62156160.

The previous prime is 207028931. The next prime is 207028973. The reversal of 207028932 is 239820702.

207028932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 207028893 and 207028902.

It is not an unprimeable number, because it can be changed into a prime (207028931) 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, 7194 + ... + 21582.

It is an arithmetic number, because the mean of its divisors is an integer number (11080300).

Almost surely, 2207028932 is an apocalyptic number.

207028932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 14388×14389.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207028932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265927200).

207028932 is an abundant number, since it is smaller than the sum of its proper divisors (324825468).

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

207028932 is a wasteful number, since it uses less digits than its factorization.

207028932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14516 (or 14514 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 207028932 is about 14388.4999913125. The cubic root of 207028932 is about 591.5757285439.

The spelling of 207028932 in words is "two hundred seven million, twenty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388 14389 28778 43167 57556 86334 158279 172668 316558 474837 633116 949674 1568401 1899348 3136802 4705203 6273604 9410406 17252411 18820812 34504822 51757233 69009644 103514466 207028932