Search a number
-
+
10281128 = 23112131943
BaseRepresentation
bin100111001110…
…000010101000
3201100100001112
4213032002220
510112444003
61004205452
7153250064
oct47160250
921310045
1010281128
115892400
123539888
13218c810
141518aa4
15d813d8
hex9ce0a8

10281128 has 96 divisors (see below), whose sum is σ = 24578400. Its totient is φ = 3991680.

The previous prime is 10281121. The next prime is 10281143. The reversal of 10281128 is 82118201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10281121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239075 + ... + 239117.

It is an arithmetic number, because the mean of its divisors is an integer number (256025).

Almost surely, 210281128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10281128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289200).

10281128 is an abundant number, since it is smaller than the sum of its proper divisors (14297272).

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

10281128 is a wasteful number, since it uses less digits than its factorization.

10281128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 10281128 is about 3206.4198103180. The cubic root of 10281128 is about 217.4437464068.

Adding to 10281128 its reverse (82118201), we get a palindrome (92399329).

The spelling of 10281128 in words is "ten million, two hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 13 19 22 26 38 43 44 52 76 86 88 104 121 143 152 172 209 242 247 286 344 418 473 484 494 559 572 817 836 946 968 988 1118 1144 1573 1634 1672 1892 1976 2236 2299 2717 3146 3268 3784 4472 4598 5203 5434 6149 6292 6536 8987 9196 10406 10621 10868 12298 12584 17974 18392 20812 21242 21736 24596 29887 35948 41624 42484 49192 59774 67639 71896 84968 98857 116831 119548 135278 197714 233662 239096 270556 395428 467324 541112 790856 934648 1285141 2570282 5140564 10281128