Search a number
-
+
206931140 = 225131746817
BaseRepresentation
bin11000101010110…
…00010011000100
3112102101012011022
430111120103010
5410433244030
632311130312
75061612533
oct1425302304
9472335138
10206931140
11a6897479
1259373998
1333b43080
141d6a831a
1513277de5
hexc5584c4

206931140 has 48 divisors (see below), whose sum is σ = 495521712. Its totient is φ = 71909376.

The previous prime is 206931097. The next prime is 206931149. The reversal of 206931140 is 41139602.

It can be written as a sum of positive squares in 8 ways, for example, as 31684 + 206899456 = 178^2 + 14384^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (206931149) 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, 18989 + ... + 27828.

It is an arithmetic number, because the mean of its divisors is an integer number (10323369).

Almost surely, 2206931140 is an apocalyptic number.

206931140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206931140 is an abundant number, since it is smaller than the sum of its proper divisors (288590572).

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

206931140 is a wasteful number, since it uses less digits than its factorization.

206931140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46856 (or 46854 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 206931140 is about 14385.1013204635. The cubic root of 206931140 is about 591.4825684811.

The spelling of 206931140 in words is "two hundred six million, nine hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 46817 93634 187268 234085 468170 608621 795889 936340 1217242 1591778 2434484 3043105 3183556 3979445 6086210 7958890 10346557 12172420 15917780 20693114 41386228 51732785 103465570 206931140