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10268310 = 23513113233
BaseRepresentation
bin100111001010…
…111010010110
3201022200110210
4213022322112
510112041220
61004030250
7153164523
oct47127226
921280423
1010268310
115883808
123532386
132186a30
14151414a
15d7c6e0
hex9cae96

10268310 has 64 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2494464.

The previous prime is 10268299. The next prime is 10268339. The reversal of 10268310 is 1386201.

It is a super-2 number, since 2×102683102 = 210876380512200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 43954 + ... + 44186.

It is an arithmetic number, because the mean of its divisors is an integer number (420147).

Almost surely, 210268310 is an apocalyptic number.

10268310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10268310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

10268310 is an abundant number, since it is smaller than the sum of its proper divisors (16621098).

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

10268310 is a wasteful number, since it uses less digits than its factorization.

10268310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10268310 is about 3204.4203844065. The cubic root of 10268310 is about 217.3533428033.

The spelling of 10268310 in words is "ten million, two hundred sixty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 233 339 390 466 565 678 699 1130 1165 1398 1469 1695 2330 2938 3029 3390 3495 4407 6058 6990 7345 8814 9087 14690 15145 18174 22035 26329 30290 44070 45435 52658 78987 90870 131645 157974 263290 342277 394935 684554 789870 1026831 1711385 2053662 3422770 5134155 10268310