Search a number
-
+
10338660 = 22325193023
BaseRepresentation
bin100111011100…
…000101100100
3201110020222100
4213130011210
510121314120
61005332100
7153606603
oct47340544
921406870
1010338660
115921652
123567030
1321aca67
141531a3a
15d93490
hex9dc164

10338660 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2611008.

The previous prime is 10338649. The next prime is 10338673. The reversal of 10338660 is 6683301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1909 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 210338660 is an apocalyptic number.

10338660 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 10338660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10338660 is an abundant number, since it is smaller than the sum of its proper divisors (22683420).

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

10338660 is a wasteful number, since it uses less digits than its factorization.

10338660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10338660 is about 3215.3786713232. The cubic root of 10338660 is about 217.8485888555.

The spelling of 10338660 in words is "ten million, three hundred thirty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3023 3420 6046 9069 12092 15115 18138 27207 30230 36276 45345 54414 57437 60460 90690 108828 114874 136035 172311 181380 229748 272070 287185 344622 516933 544140 574370 689244 861555 1033866 1148740 1723110 2067732 2584665 3446220 5169330 10338660