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107017740 = 22335593359
BaseRepresentation
bin1100110000011…
…11011000001100
321110101001202000
412120033120030
5204344031430
614341432300
72436431034
oct630173014
9243331660
10107017740
1155455015
122ba0b690
131922cb0b
14102da8c4
1595dde60
hex660f60c

107017740 has 96 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 28046016.

The previous prime is 107017733. The next prime is 107017741. The reversal of 107017740 is 47710701.

It is a super-2 number, since 2×1070177402 = 22905593349415200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107017741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30181 + ... + 33539.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2107017740 is an apocalyptic number.

107017740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107017740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

107017740 is an abundant number, since it is smaller than the sum of its proper divisors (231670260).

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

107017740 is a wasteful number, since it uses less digits than its factorization.

107017740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 107017740 is about 10344.9378925154. The cubic root of 107017740 is about 474.7721751407.

The spelling of 107017740 in words is "one hundred seven million, seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 1062 1180 1593 1770 2124 2655 3186 3359 3540 5310 6372 6718 7965 10077 10620 13436 15930 16795 20154 30231 31860 33590 40308 50385 60462 67180 90693 100770 120924 151155 181386 198181 201540 302310 362772 396362 453465 594543 604620 792724 906930 990905 1189086 1783629 1813860 1981810 2378172 2972715 3567258 3963620 5350887 5945430 7134516 8918145 10701774 11890860 17836290 21403548 26754435 35672580 53508870 107017740