Search a number
-
+
99988668 = 22351341193
BaseRepresentation
bin1011111010110…
…11010010111100
320222010221200000
411331123102330
5201044114133
613531034300
72322614103
oct575332274
9228127600
1099988668
1151493a6a
122959b990
131793b5c0
14d3cb03a
158ba1413
hex5f5b4bc

99988668 has 144 divisors (see below), whose sum is σ = 290655456. Its totient is φ = 29859840.

The previous prime is 99988649. The next prime is 99988753. The reversal of 99988668 is 86688999.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517980 + ... + 518172.

Almost surely, 299988668 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 99988668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145327728).

99988668 is an abundant number, since it is smaller than the sum of its proper divisors (190666788).

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

99988668 is a wasteful number, since it uses less digits than its factorization.

99988668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 99988668 is about 9999.4333839473. The cubic root of 99988668 is about 464.1413498707.

The spelling of 99988668 in words is "ninety-nine million, nine hundred eighty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 81 82 108 117 123 156 162 164 193 234 243 246 324 351 369 386 468 486 492 533 579 702 738 772 972 1053 1066 1107 1158 1404 1476 1599 1737 2106 2132 2214 2316 2509 3159 3198 3321 3474 4212 4428 4797 5018 5211 6318 6396 6642 6948 7527 7913 9594 9963 10036 10422 12636 13284 14391 15054 15633 15826 19188 19926 20844 22581 23739 28782 30108 31266 31652 39852 43173 45162 46899 47478 57564 62532 67743 71217 86346 90324 93798 94956 102869 129519 135486 142434 172692 187596 203229 205738 213651 259038 270972 284868 308607 406458 411476 427302 518076 609687 617214 640953 812916 854604 925821 1219374 1234428 1281906 1851642 1922859 2438748 2563812 2777463 3703284 3845718 5554926 7691436 8332389 11109852 16664778 24997167 33329556 49994334 99988668