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128109816 = 233323107241
BaseRepresentation
bin1111010001011…
…00110011111000
322221001122122000
413220230303320
5230244003231
620413501000
73113626002
oct750546370
9287048560
10128109816
116635088a
1236aa1760
1320706333
141302b372
15b3a86e6
hex7a2ccf8

128109816 has 128 divisors (see below), whose sum is σ = 376358400. Its totient is φ = 40296960.

The previous prime is 128109811. The next prime is 128109823. The reversal of 128109816 is 618901821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128109811) 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, 531456 + ... + 531696.

It is an arithmetic number, because the mean of its divisors is an integer number (2940300).

Almost surely, 2128109816 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 128109816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188179200).

128109816 is an abundant number, since it is smaller than the sum of its proper divisors (248248584).

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

128109816 is a wasteful number, since it uses less digits than its factorization.

128109816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 128109816 is about 11318.5606858823. The cubic root of 128109816 is about 504.1125032298.

The spelling of 128109816 in words is "one hundred twenty-eight million, one hundred nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 107 108 138 184 207 214 216 241 276 321 414 428 482 552 621 642 723 828 856 963 964 1242 1284 1446 1656 1926 1928 2169 2461 2484 2568 2889 2892 3852 4338 4922 4968 5543 5778 5784 6507 7383 7704 8676 9844 11086 11556 13014 14766 16629 17352 19688 22149 22172 23112 25787 26028 29532 33258 44298 44344 49887 51574 52056 59064 66447 66516 77361 88596 99774 103148 132894 133032 149661 154722 177192 199548 206296 232083 265788 299322 309444 399096 464166 531576 593101 598644 618888 696249 928332 1186202 1197288 1392498 1779303 1856664 2372404 2784996 3558606 4744808 5337909 5569992 7117212 10675818 14234424 16013727 21351636 32027454 42703272 64054908 128109816