Search a number
-
+
10310144 = 29131549
BaseRepresentation
bin100111010101…
…001000000000
3201101210212012
4213111020000
510114411034
61004552052
7153430505
oct47251000
921353765
1010310144
115902189
123552628
13219caa0
1415254ac
15d89cce
hex9d5200

10310144 has 40 divisors (see below), whose sum is σ = 22199100. Its totient is φ = 4755456.

The previous prime is 10310137. The next prime is 10310149. The reversal of 10310144 is 44101301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9535744 + 774400 = 3088^2 + 880^2 .

It is not an unprimeable number, because it can be changed into a prime (10310149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5882 + ... + 7430.

Almost surely, 210310144 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 10310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099550).

10310144 is an abundant number, since it is smaller than the sum of its proper divisors (11888956).

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

10310144 is an equidigital number, since it uses as much as digits as its factorization.

10310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10310144 is about 3210.9412950099. The cubic root of 10310144 is about 217.6481150810.

Adding to 10310144 its reverse (44101301), we get a palindrome (54411445).

The spelling of 10310144 in words is "ten million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1549 1664 3098 3328 6196 6656 12392 20137 24784 40274 49568 80548 99136 161096 198272 322192 396544 644384 793088 1288768 2577536 5155072 10310144