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109730712 = 233713471069
BaseRepresentation
bin1101000101001…
…01101110011000
321122110220020110
412202211232120
5211042340322
614515524320
72501460420
oct642455630
9248426213
10109730712
1156a38343
12308b96a0
131996c920
1410805480
159977c0c
hex68a5b98

109730712 has 128 divisors (see below), whose sum is σ = 345139200. Its totient is φ = 28297728.

The previous prime is 109730689. The next prime is 109730717. The reversal of 109730712 is 217037901.

It is a self number, because there is not a number n which added to its sum of digits gives 109730712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109730717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102114 + ... + 103182.

It is an arithmetic number, because the mean of its divisors is an integer number (2696400).

Almost surely, 2109730712 is an apocalyptic number.

109730712 is a gapful number since it is divisible by the number (12) 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 109730712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172569600).

109730712 is an abundant number, since it is smaller than the sum of its proper divisors (235408488).

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

109730712 is a wasteful number, since it uses less digits than its factorization.

109730712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 109730712 is about 10475.2428134149. The cubic root of 109730712 is about 478.7506747372.

The spelling of 109730712 in words is "one hundred nine million, seven hundred thirty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 47 52 56 78 84 91 94 104 141 156 168 182 188 273 282 312 329 364 376 546 564 611 658 728 987 1069 1092 1128 1222 1316 1833 1974 2138 2184 2444 2632 3207 3666 3948 4276 4277 4888 6414 7332 7483 7896 8552 8554 12828 12831 13897 14664 14966 17108 22449 25656 25662 27794 29932 34216 41691 44898 50243 51324 55588 59864 83382 89796 97279 100486 102648 111176 150729 166764 179592 194558 200972 291837 301458 333528 351701 389116 401944 583674 602916 653159 703402 778232 1055103 1167348 1205832 1306318 1406804 1959477 2110206 2334696 2612636 2813608 3918954 4220412 4572113 5225272 7837908 8440824 9144226 13716339 15675816 18288452 27432678 36576904 54865356 109730712