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99808128 = 2732712377
BaseRepresentation
bin1011111001011…
…11001110000000
320221210210000100
411330233032000
5201022330003
613523122400
72321232540
oct574571600
9227723010
1099808128
1151380362
1229513400
13178a7384
14d381320
158b67ba3
hex5f2f380

99808128 has 96 divisors (see below), whose sum is σ = 328264560. Its totient is φ = 28514304.

The previous prime is 99808123. The next prime is 99808141. The reversal of 99808128 is 82180899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99808123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1876 + ... + 14252.

Almost surely, 299808128 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 99808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164132280).

99808128 is an abundant number, since it is smaller than the sum of its proper divisors (228456432).

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

99808128 is a wasteful number, since it uses less digits than its factorization.

99808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12404 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 99808128 is about 9990.4017937218. The cubic root of 99808128 is about 463.8618296483.

The spelling of 99808128 in words is "ninety-nine million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 12377 24754 37131 49508 74262 86639 99016 111393 148524 173278 198032 222786 259917 297048 346556 396064 445572 519834 594096 693112 779751 792128 891144 1039668 1188192 1386224 1559502 1584256 1782288 2079336 2376384 2772448 3119004 3564576 4158672 4752768 5544896 6238008 7129152 8317344 11089792 12476016 14258304 16634688 24952032 33269376 49904064 99808128