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281100020 = 2252321632
BaseRepresentation
bin10000110000010…
…011111011110100
3201120221100201212
4100300103323310
51033430200040
643520540552
76652211405
oct2060237364
9646840655
10281100020
11134745673
127a181758
1346311296
14294939ac
1519a28d65
hex10c13ef4

281100020 has 54 divisors (see below), whose sum is σ = 620900658. Its totient is φ = 106891488.

The previous prime is 281100007. The next prime is 281100023. The reversal of 281100020 is 20001182.

It can be written as a sum of positive squares in only one way, i.e., 224880016 + 56220004 = 14996^2 + 7498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 281099968 and 281100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281100023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1724459 + ... + 1724621.

Almost surely, 2281100020 is an apocalyptic number.

281100020 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 281100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310450329).

281100020 is an abundant number, since it is smaller than the sum of its proper divisors (339800638).

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

281100020 is a wasteful number, since it uses less digits than its factorization.

281100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 281100020 is about 16766.0376952934. The cubic root of 281100020 is about 655.0688659795.

The spelling of 281100020 in words is "two hundred eighty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 529 652 815 1058 1630 2116 2645 3260 3749 5290 7498 10580 14996 18745 26569 37490 53138 74980 86227 106276 132845 172454 265690 344908 431135 531380 611087 862270 1222174 1724540 2444348 3055435 6110870 12221740 14055001 28110002 56220004 70275005 140550010 281100020