Search a number
-
+
10209060 = 22325431319
BaseRepresentation
bin100110111100…
…011100100100
3201012200012100
4212330130210
510103142220
61002452100
7152530011
oct46743444
921180170
1010209060
115843244
123504030
132165a84
1414da708
15d69d90
hex9bc724

10209060 has 72 divisors (see below), whose sum is σ = 31711680. Its totient is φ = 2657088.

The previous prime is 10209053. The next prime is 10209071. The reversal of 10209060 is 6090201.

10209060 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7081 + ... + 8399.

It is an arithmetic number, because the mean of its divisors is an integer number (440440).

Almost surely, 210209060 is an apocalyptic number.

10209060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10209060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855840).

10209060 is an abundant number, since it is smaller than the sum of its proper divisors (21502620).

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

10209060 is a wasteful number, since it uses less digits than its factorization.

10209060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10209060 is about 3195.1619677256. The cubic root of 10209060 is about 216.9344801379.

Adding to 10209060 its reverse (6090201), we get a palindrome (16299261).

The spelling of 10209060 in words is "ten million, two hundred nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1319 1548 1935 2580 2638 3870 3957 5276 6595 7740 7914 11871 13190 15828 19785 23742 26380 39570 47484 56717 59355 79140 113434 118710 170151 226868 237420 283585 340302 510453 567170 680604 850755 1020906 1134340 1701510 2041812 2552265 3403020 5104530 10209060