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10280304 = 243353449
BaseRepresentation
bin100111001101…
…110101110000
3201100021221000
4213031311300
510112432204
61004202000
7153244506
oct47156560
921307830
1010280304
115891821
123539300
13218c328
141518676
15d81039
hex9cdd70

10280304 has 80 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 3354624.

The previous prime is 10280293. The next prime is 10280321. The reversal of 10280304 is 40308201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22672 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 210280304 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 10280304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

10280304 is an abundant number, since it is smaller than the sum of its proper divisors (19851696).

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

10280304 is a wasteful number, since it uses less digits than its factorization.

10280304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10280304 is about 3206.2913155233. The cubic root of 10280304 is about 217.4379371079.

Adding to 10280304 its reverse (40308201), we get a palindrome (50588505).

The spelling of 10280304 in words is "ten million, two hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 449 477 636 848 898 954 1272 1347 1431 1796 1908 2544 2694 2862 3592 3816 4041 5388 5724 7184 7632 8082 10776 11448 12123 16164 21552 22896 23797 24246 32328 47594 48492 64656 71391 95188 96984 142782 190376 193968 214173 285564 380752 428346 571128 642519 856692 1142256 1285038 1713384 2570076 3426768 5140152 10280304