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109329066 = 232711271101
BaseRepresentation
bin1101000010000…
…11101010101010
321121201111021200
412201003222222
5210442012231
614503145030
72465165430
oct641035252
9247644250
10109329066
1156793600
1230745176
131985bb72
141073cd50
1598e8be6
hex6843aaa

109329066 has 144 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 27720000.

The previous prime is 109329061. The next prime is 109329079. The reversal of 109329066 is 660923901.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 109329066.

It is not an unprimeable number, because it can be changed into a prime (109329061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1082416 + ... + 1082516.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2109329066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109329066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

109329066 is an abundant number, since it is smaller than the sum of its proper divisors (195417558).

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

109329066 is a wasteful number, since it uses less digits than its factorization.

109329066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 109329066 is about 10456.0540358206. The cubic root of 109329066 is about 478.1658388287.

The spelling of 109329066 in words is "one hundred nine million, three hundred twenty-nine thousand, sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 101 121 126 142 154 198 202 213 231 242 303 363 426 462 497 606 639 693 707 726 781 847 909 994 1089 1111 1278 1386 1414 1491 1562 1694 1818 2121 2178 2222 2343 2541 2982 3333 4242 4473 4686 5082 5467 6363 6666 7029 7171 7623 7777 8591 8946 9999 10934 12221 12726 14058 14342 15246 15554 16401 17182 19998 21513 23331 24442 25773 32802 36663 43026 46662 49203 50197 51546 60137 64539 69993 73326 77319 78881 85547 98406 100394 109989 120274 129078 139986 150591 154638 157762 171094 180411 219978 236643 256641 301182 360822 451773 473286 513282 541233 552167 709929 769923 867691 903546 1082466 1104334 1419858 1539846 1656501 1735382 2603073 3313002 4969503 5206146 6073837 7809219 9939006 12147674 15618438 18221511 36443022 54664533 109329066