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281112930 = 23457431153
BaseRepresentation
bin10000110000010…
…111000101100010
3201120222000110000
4100300113011202
51033431103210
643521120430
76652264140
oct2060270542
9646860400
10281112930
1113475433a
127a189116
1346317117
1429498590
1519a2cac0
hex10c17162

281112930 has 160 divisors (see below), whose sum is σ = 884721024. Its totient is φ = 62705664.

The previous prime is 281112913. The next prime is 281112943. The reversal of 281112930 is 39211182.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 281112894 and 281112903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243234 + ... + 244386.

Almost surely, 2281112930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281112930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442360512).

281112930 is an abundant number, since it is smaller than the sum of its proper divisors (603608094).

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

281112930 is a wasteful number, since it uses less digits than its factorization.

281112930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 281112930 is about 16766.4226953754. The cubic root of 281112930 is about 655.0788942127.

The spelling of 281112930 in words is "two hundred eighty-one million, one hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 189 210 215 258 270 301 315 378 387 405 430 567 602 630 645 774 810 903 945 1134 1153 1161 1290 1505 1806 1890 1935 2306 2322 2709 2835 3010 3459 3483 3870 4515 5418 5670 5765 5805 6918 6966 8071 8127 9030 10377 11530 11610 13545 16142 16254 17295 17415 20754 24213 24381 27090 31131 34590 34830 40355 40635 48426 48762 49579 51885 62262 72639 80710 81270 93393 99158 103770 121065 121905 145278 148737 155655 186786 217917 242130 243810 247895 297474 311310 347053 363195 435834 446211 466965 495790 653751 694106 726390 743685 892422 933930 1041159 1089585 1307502 1338633 1487370 1735265 2082318 2179170 2231055 2677266 3123477 3268755 3470530 4015899 4462110 5205795 6246954 6537510 6693165 8031798 9370431 10411590 13386330 15617385 18740862 20079495 28111293 31234770 40158990 46852155 56222586 93704310 140556465 281112930