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9307116 = 2233713947
BaseRepresentation
bin100011100000…
…001111101100
3122111211222000
4203200033230
54340311431
6531252300
7142052310
oct43401754
918454860
109307116
115287635
12314a090
131c0b390
141343b40
15c3c9e6
hex8e03ec

9307116 has 96 divisors (see below), whose sum is σ = 29729280. Its totient is φ = 2452032.

The previous prime is 9307097. The next prime is 9307121. The reversal of 9307116 is 6117039.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9307116.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9355 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (309680).

Almost surely, 29307116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9307116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864640).

9307116 is an abundant number, since it is smaller than the sum of its proper divisors (20422164).

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

9307116 is a wasteful number, since it uses less digits than its factorization.

9307116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9307116 is about 3050.7566274615. The cubic root of 9307116 is about 210.3479944427.

The spelling of 9307116 in words is "nine million, three hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 947 1092 1404 1638 1894 2457 2841 3276 3788 4914 5682 6629 8523 9828 11364 12311 13258 17046 19887 24622 25569 26516 34092 36933 39774 49244 51138 59661 73866 79548 86177 102276 110799 119322 147732 172354 178983 221598 238644 258531 332397 344708 357966 443196 517062 664794 715932 775593 1034124 1329588 1551186 2326779 3102372 4653558 9307116