Search a number
-
+
1028286380 = 22511109137313
BaseRepresentation
bin111101010010100…
…110011110101100
32122122220100201202
4331102212132230
54101220131010
6250011425032
734324201322
oct7522463654
92578810652
101028286380
11488493860
12248455178
131350621a4
149a7d1d12
156041c6a5
hex3d4a67ac

1028286380 has 96 divisors (see below), whose sum is σ = 2402326080. Its totient is φ = 366612480.

The previous prime is 1028286373. The next prime is 1028286401. The reversal of 1028286380 is 836828201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285104 + ... + 3285416.

It is an arithmetic number, because the mean of its divisors is an integer number (25024230).

Almost surely, 21028286380 is an apocalyptic number.

1028286380 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 1028286380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201163040).

1028286380 is an abundant number, since it is smaller than the sum of its proper divisors (1374039700).

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

1028286380 is a wasteful number, since it uses less digits than its factorization.

1028286380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1028286380 is about 32066.9047461709. The cubic root of 1028286380 is about 1009.3412624456.

The spelling of 1028286380 in words is "one billion, twenty-eight million, two hundred eighty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 137 218 220 274 313 436 545 548 626 685 1090 1199 1252 1370 1507 1565 2180 2398 2740 3014 3130 3443 4796 5995 6028 6260 6886 7535 11990 13772 14933 15070 17215 23980 29866 30140 34117 34430 42881 59732 68234 68860 74665 85762 136468 149330 164263 170585 171524 214405 298660 328526 341170 375287 428810 471691 657052 682340 750574 821315 857620 943382 1501148 1642630 1876435 1886764 2358455 3285260 3752870 4674029 4716910 7505740 9348058 9433820 18696116 23370145 46740290 51414319 93480580 102828638 205657276 257071595 514143190 1028286380