Search a number
-
+
10206945 = 335721543
BaseRepresentation
bin100110111011…
…111011100001
3201012120022000
4212323323201
510103110240
61002434213
7152520600
oct46737341
921176260
1010206945
1158416a1
123502969
132164b18
1414d9a37
15d69430
hex9bbee1

10206945 has 48 divisors (see below), whose sum is σ = 21121920. Its totient is φ = 4663008.

The previous prime is 10206929. The next prime is 10206949. The reversal of 10206945 is 54960201.

It is not a de Polignac number, because 10206945 - 24 = 10206929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10206949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5844 + ... + 7386.

It is an arithmetic number, because the mean of its divisors is an integer number (440040).

Almost surely, 210206945 is an apocalyptic number.

10206945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10206945 is an abundant number, since it is smaller than the sum of its proper divisors (10914975).

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

10206945 is a wasteful number, since it uses less digits than its factorization.

10206945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10206945 is about 3194.8309814449. The cubic root of 10206945 is about 216.9194984088.

The spelling of 10206945 in words is "ten million, two hundred six thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 1543 2205 4629 6615 7715 10801 13887 23145 32403 41661 54005 69435 75607 97209 162015 208305 226821 291627 378035 486045 680463 1134105 1458135 2041389 3402315 10206945