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107289666 = 232111912837
BaseRepresentation
bin1100110010100…
…01110001000010
321110212212202100
412121101301002
5204431232131
614351331230
72441642601
oct631216102
9243785670
10107289666
1155620350
122bb20b16
13192c6813
141036ba38
1596447e6
hex6651c42

107289666 has 48 divisors (see below), whose sum is σ = 255011328. Its totient is φ = 32330400.

The previous prime is 107289659. The next prime is 107289683. The reversal of 107289666 is 666982701.

It is a super-2 number, since 2×1072896662 = 23022144860783112, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 36400 + ... + 39236.

It is an arithmetic number, because the mean of its divisors is an integer number (5312736).

Almost surely, 2107289666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107289666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127505664).

107289666 is an abundant number, since it is smaller than the sum of its proper divisors (147721662).

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

107289666 is a wasteful number, since it uses less digits than its factorization.

107289666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 107289666 is about 10358.0725040907. The cubic root of 107289666 is about 475.1739580753.

The spelling of 107289666 in words is "one hundred seven million, two hundred eighty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1146 1719 2101 2837 3438 4202 5674 6303 8511 12606 17022 18909 25533 31207 37818 51066 62414 93621 187242 280863 541867 561726 1083734 1625601 3251202 4876803 5960537 9753606 11921074 17881611 35763222 53644833 107289666