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280381112 = 231131791301
BaseRepresentation
bin10000101101100…
…100011010111000
3201112120211120122
4100231210122320
51033234143422
643453312412
76643125434
oct2055443270
9645524518
10280381112
111342a4530
1279a95708
134611bcab
14293479c4
1519935d42
hex10b646b8

280381112 has 64 divisors (see below), whose sum is σ = 599961600. Its totient is φ = 121680000.

The previous prime is 280381099. The next prime is 280381139. The reversal of 280381112 is 211183082.

It is a super-2 number, since 2×2803811122 = 157227135932713088, 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 15 ways as a sum of consecutive naturals, for example, 214862 + ... + 216162.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2280381112 is an apocalyptic number.

280381112 is a gapful number since it is divisible by the number (22) 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 280381112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

280381112 is an abundant number, since it is smaller than the sum of its proper divisors (319580488).

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

280381112 is a wasteful number, since it uses less digits than its factorization.

280381112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 280381112 is about 16744.5845574024. The cubic root of 280381112 is about 654.5099471432.

The spelling of 280381112 in words is "two hundred eighty million, three hundred eighty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 79 88 124 158 248 316 341 632 682 869 1301 1364 1738 2449 2602 2728 3476 4898 5204 6952 9796 10408 14311 19592 26939 28622 40331 53878 57244 80662 102779 107756 114488 161324 205558 215512 322648 411116 443641 822232 887282 1130569 1774564 2261138 3186149 3549128 4522276 6372298 9044552 12744596 25489192 35047639 70095278 140190556 280381112