Search a number
-
+
12017082 = 2371119372
BaseRepresentation
bin101101110101…
…110110111010
3211121112100010
4231311312322
511034021312
61105322350
7204100140
oct55656672
924545303
1012017082
116868680
1240363b6
1326499cc
14184b590
1510c593c
hexb75dba

12017082 has 96 divisors (see below), whose sum is σ = 32417280. Its totient is φ = 2877120.

The previous prime is 12017077. The next prime is 12017111. The reversal of 12017082 is 28071021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324768 + ... + 324804.

It is an arithmetic number, because the mean of its divisors is an integer number (337680).

Almost surely, 212017082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12017082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208640).

12017082 is an abundant number, since it is smaller than the sum of its proper divisors (20400198).

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

12017082 is a wasteful number, since it uses less digits than its factorization.

12017082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12017082 is about 3466.5663126500. The cubic root of 12017082 is about 229.0514303865.

The spelling of 12017082 in words is "twelve million, seventeen thousand, eighty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 37 38 42 57 66 74 77 111 114 133 154 209 222 231 259 266 399 407 418 462 518 627 703 777 798 814 1221 1254 1369 1406 1463 1554 2109 2442 2738 2849 2926 4107 4218 4389 4921 5698 7733 8214 8547 8778 9583 9842 14763 15059 15466 17094 19166 23199 26011 28749 29526 30118 45177 46398 52022 54131 57498 78033 90354 105413 108262 156066 162393 182077 210826 286121 316239 324786 364154 546231 572242 632478 858363 1092462 1716726 2002847 4005694 6008541 12017082