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281106140 = 225721931487
BaseRepresentation
bin10000110000010…
…101011011011100
3201120221200010112
4100300111123130
51033430344030
643521025152
76652235300
oct2060253334
9646850115
10281106140
1113474a227
127a1851b8
1346313cc3
1429495d00
1519a2aa95
hex10c156dc

281106140 has 144 divisors (see below), whose sum is σ = 747694080. Its totient is φ = 88179840.

The previous prime is 281106073. The next prime is 281106151. The reversal of 281106140 is 41601182.

281106140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 576977 + ... + 577463.

It is an arithmetic number, because the mean of its divisors is an integer number (5192320).

Almost surely, 2281106140 is an apocalyptic number.

281106140 is a gapful number since it is divisible by the number (20) 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 281106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373847040).

281106140 is an abundant number, since it is smaller than the sum of its proper divisors (466587940).

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

281106140 is a wasteful number, since it uses less digits than its factorization.

281106140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 281106140 is about 16766.2202061168. The cubic root of 281106140 is about 655.0736199130.

The spelling of 281106140 in words is "two hundred eighty-one million, one hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 49 62 70 76 95 98 124 133 140 155 190 196 217 245 266 310 380 434 487 490 532 589 620 665 868 931 974 980 1085 1178 1330 1519 1862 1948 2170 2356 2435 2660 2945 3038 3409 3724 4123 4340 4655 4870 5890 6076 6818 7595 8246 9253 9310 9740 11780 13636 15097 15190 16492 17045 18506 18620 20615 23863 28861 30194 30380 34090 37012 41230 46265 47726 57722 60388 64771 68180 75485 82460 92530 95452 105679 115444 119315 129542 144305 150970 185060 211358 238630 259084 286843 288610 301940 323855 422716 453397 477260 528395 573686 577220 647710 739753 906794 1056790 1147372 1295420 1434215 1479506 1813588 2007901 2113580 2266985 2868430 2959012 3698765 4015802 4533970 5736860 7397530 8031604 9067940 10039505 14055307 14795060 20079010 28110614 40158020 56221228 70276535 140553070 281106140