Search a number
-
+
10304210 = 2572171237
BaseRepresentation
bin100111010011…
…101011010010
3201101111201102
4213103223102
510114213320
61004504402
7153404300
oct47235322
921344642
1010304210
1158a8784
12354b102
13219a187
141523270
15d88175
hex9d3ad2

10304210 has 48 divisors (see below), whose sum is σ = 22863384. Its totient is φ = 3322368.

The previous prime is 10304197. The next prime is 10304237. The reversal of 10304210 is 1240301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9966649 + 337561 = 3157^2 + 581^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10304191 and 10304200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7712 + ... + 8948.

Almost surely, 210304210 is an apocalyptic number.

10304210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10304210 is an abundant number, since it is smaller than the sum of its proper divisors (12559174).

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

10304210 is a wasteful number, since it uses less digits than its factorization.

10304210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10304210 is about 3210.0171339107. The cubic root of 10304210 is about 217.6063513005.

Adding to 10304210 its reverse (1240301), we get a palindrome (11544511).

The spelling of 10304210 in words is "ten million, three hundred four thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1237 1666 2474 4165 6185 8330 8659 12370 17318 21029 42058 43295 60613 86590 105145 121226 147203 210290 294406 303065 606130 736015 1030421 1472030 2060842 5152105 10304210