Search a number
-
+
10281300 = 2235243797
BaseRepresentation
bin100111001110…
…000101010100
3201100100021220
4213032011110
510113000200
61004210340
7153250431
oct47160524
921310256
1010281300
115892547
1235399b0
13218c913
141518b88
15d814a0
hex9ce154

10281300 has 72 divisors (see below), whose sum is σ = 30477216. Its totient is φ = 2674560.

The previous prime is 10281289. The next prime is 10281317. The reversal of 10281300 is 318201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10281300.

It is a congruent number.

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, 12502 + ... + 13298.

Almost surely, 210281300 is an apocalyptic number.

10281300 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 10281300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238608).

10281300 is an abundant number, since it is smaller than the sum of its proper divisors (20195916).

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

10281300 is a wasteful number, since it uses less digits than its factorization.

10281300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10281300 is about 3206.4466313974. The cubic root of 10281300 is about 217.4449589882. Note that the first 3 decimals are identical.

Adding to 10281300 its reverse (318201), we get a palindrome (10599501).

The spelling of 10281300 in words is "ten million, two hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 797 860 1075 1290 1594 2150 2391 2580 3188 3225 3985 4300 4782 6450 7970 9564 11955 12900 15940 19925 23910 34271 39850 47820 59775 68542 79700 102813 119550 137084 171355 205626 239100 342710 411252 514065 685420 856775 1028130 1713550 2056260 2570325 3427100 5140650 10281300