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1280785428 = 22321321311607
BaseRepresentation
bin100110001010111…
…0011110000010100
310022021000122022100
41030111303300110
510110340113203
6331031402100
743511332206
oct11425636024
93267018270
101280785428
115a7a7405a
122b8b23330
1317546b200
14c215c776
1577696ea3
hex4c573c14

1280785428 has 108 divisors (see below), whose sum is σ = 3534699168. Its totient is φ = 390836160.

The previous prime is 1280785427. The next prime is 1280785483. The reversal of 1280785428 is 8245870821.

It is a happy number.

It is a super-2 number, since 2×12807854282 = 3280822625154286368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280785427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796201 + ... + 797807.

It is an arithmetic number, because the mean of its divisors is an integer number (32728696).

Almost surely, 21280785428 is an apocalyptic number.

1280785428 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 1280785428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767349584).

1280785428 is an abundant number, since it is smaller than the sum of its proper divisors (2253913740).

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

1280785428 is a wasteful number, since it uses less digits than its factorization.

1280785428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1280785428 is about 35788.0626466424. The cubic root of 1280785428 is about 1085.9890824376.

The spelling of 1280785428 in words is "one billion, two hundred eighty million, seven hundred eighty-five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 169 234 262 338 393 468 507 524 676 786 1014 1179 1521 1572 1607 1703 2028 2358 3042 3214 3406 4716 4821 5109 6084 6428 6812 9642 10218 14463 15327 19284 20436 20891 22139 28926 30654 41782 44278 57852 61308 62673 66417 83564 88556 125346 132834 188019 199251 210517 250692 265668 271583 376038 398502 421034 543166 631551 752076 797004 814749 842068 1086332 1263102 1629498 1894653 2444247 2526204 2736721 3258996 3789306 4888494 5473442 7578612 8210163 9776988 10946884 16420326 24630489 32840652 35577373 49260978 71154746 98521956 106732119 142309492 213464238 320196357 426928476 640392714 1280785428