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10280268 = 22322943229
BaseRepresentation
bin100111001101…
…110101001100
3201100021212200
4213031311030
510112432033
61004201500
7153244425
oct47156514
921307780
1010280268
115891799
123539290
13218c2cb
14151864c
15d81013
hex9cdd4c

10280268 has 72 divisors (see below), whose sum is σ = 27627600. Its totient is φ = 3217536.

The previous prime is 10280243. The next prime is 10280293. The reversal of 10280268 is 86208201.

It is an interprime number because it is at equal distance from previous prime (10280243) and next prime (10280293).

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, 44778 + ... + 45006.

Almost surely, 210280268 is an apocalyptic number.

10280268 is a gapful number since it is divisible by the number (18) 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 10280268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813800).

10280268 is an abundant number, since it is smaller than the sum of its proper divisors (17347332).

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

10280268 is a wasteful number, since it uses less digits than its factorization.

10280268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10280268 is about 3206.2857015556. The cubic root of 10280268 is about 217.4376832965.

Adding to 10280268 its reverse (86208201), we get a palindrome (96488469).

The spelling of 10280268 in words is "ten million, two hundred eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 229 258 261 348 387 458 516 522 687 774 916 1044 1247 1374 1548 2061 2494 2748 3741 4122 4988 6641 7482 8244 9847 11223 13282 14964 19694 19923 22446 26564 29541 39388 39846 44892 59082 59769 79692 88623 118164 119538 177246 239076 285563 354492 571126 856689 1142252 1713378 2570067 3426756 5140134 10280268