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1268190 = 233571161
BaseRepresentation
bin100110101100111011110
32101102122000
410311213132
5311040230
643103130
713531230
oct4654736
92342560
101268190
117968a0
12511aa6
13355311
14250250
151a0b60
hex1359de

1268190 has 128 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 259200.

The previous prime is 1268177. The next prime is 1268207. The reversal of 1268190 is 918621.

It is a super-2 number, since 2×12681902 = 3216611752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 16.

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 63 ways as a sum of consecutive naturals, for example, 20760 + ... + 20820.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

21268190 is an apocalyptic number.

1268190 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 1268190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

1268190 is an abundant number, since it is smaller than the sum of its proper divisors (3017250).

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

1268190 is a wasteful number, since it uses less digits than its factorization.

1268190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1268190 is about 1126.1394229846. The cubic root of 1268190 is about 108.2417424413.

The spelling of 1268190 in words is "one million, two hundred sixty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 61 63 66 70 77 90 99 105 110 122 126 135 154 165 183 189 198 210 231 270 297 305 315 330 366 378 385 427 462 495 549 594 610 630 671 693 770 854 915 945 990 1098 1155 1281 1342 1386 1485 1647 1830 1890 2013 2079 2135 2310 2562 2745 2970 3294 3355 3465 3843 4026 4158 4270 4697 5490 6039 6405 6710 6930 7686 8235 9394 10065 10395 11529 12078 12810 14091 16470 18117 19215 20130 20790 23058 23485 28182 30195 36234 38430 42273 46970 57645 60390 70455 84546 90585 115290 126819 140910 181170 211365 253638 422730 634095 1268190