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10285260 = 22353741113
BaseRepresentation
bin100111001111…
…000011001100
3201100112201120
4213033003030
510113112020
61004240540
7153265116
oct47170314
921315646
1010285260
115895517
123540150
13219166b
14151a3b6
15d82740
hex9cf0cc

10285260 has 96 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 2580480.

The previous prime is 10285259. The next prime is 10285267. The reversal of 10285260 is 6258201.

10285260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10285260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90964 + ... + 91076.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 210285260 is an apocalyptic number.

10285260 is a gapful number since it is divisible by the number (10) 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 10285260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

10285260 is an abundant number, since it is smaller than the sum of its proper divisors (20281332).

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

10285260 is a wasteful number, since it uses less digits than its factorization.

10285260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10285260 is about 3207.0640779380. The cubic root of 10285260 is about 217.4728728223.

The spelling of 10285260 in words is "ten million, two hundred eighty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 113 123 148 164 185 205 222 226 246 339 370 410 444 452 492 555 565 615 678 740 820 1110 1130 1230 1356 1517 1695 2220 2260 2460 3034 3390 4181 4551 4633 6068 6780 7585 8362 9102 9266 12543 13899 15170 16724 18204 18532 20905 22755 23165 25086 27798 30340 41810 45510 46330 50172 55596 62715 69495 83620 91020 92660 125430 138990 171421 250860 277980 342842 514263 685684 857105 1028526 1714210 2057052 2571315 3428420 5142630 10285260