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109289466 = 233111314153
BaseRepresentation
bin1101000001110…
…01111111111010
321121122110222000
412200321333322
5210434230331
614502241430
72464642116
oct640717772
9247573860
10109289466
1156766880
1230726276
1319846b30
141072c746
1598dc0e6
hex6839ffa

109289466 has 64 divisors (see below), whose sum is σ = 285344640. Its totient is φ = 30568320.

The previous prime is 109289431. The next prime is 109289471. The reversal of 109289466 is 664982901.

It is a happy number.

109289466 is a `hidden beast` number, since 109 + 2 + 89 + 466 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646 + ... + 14798.

It is an arithmetic number, because the mean of its divisors is an integer number (4458510).

Almost surely, 2109289466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109289466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142672320).

109289466 is an abundant number, since it is smaller than the sum of its proper divisors (176055174).

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

109289466 is a wasteful number, since it uses less digits than its factorization.

109289466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14182 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 109289466 is about 10454.1602245231. The cubic root of 109289466 is about 478.1080998256.

The spelling of 109289466 in words is "one hundred nine million, two hundred eighty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 14153 28306 42459 84918 127377 155683 183989 254754 311366 367978 382131 467049 551967 764262 934098 1103934 1401147 1655901 2023879 2802294 3311802 4047758 4203441 4967703 6071637 8406882 9935406 12143274 18214911 36429822 54644733 109289466