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99008136 = 23331759457
BaseRepresentation
bin1011110011010…
…11111010001000
320220022010122000
411321223322020
5200321230021
613454031000
72311361313
oct571537210
9226263560
1099008136
1150984307
12291a8460
13176871c6
14d21397a
158a5ab26
hex5e6be88

99008136 has 128 divisors (see below), whose sum is σ = 296784000. Its totient is φ = 30468096.

The previous prime is 99008113. The next prime is 99008137. The reversal of 99008136 is 63180099.

It is a super-2 number, since 2×990081362 = 19605221988388992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99008136.

It is not an unprimeable number, because it can be changed into a prime (99008137) 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, 216420 + ... + 216876.

It is an arithmetic number, because the mean of its divisors is an integer number (2318625).

Almost surely, 299008136 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 99008136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148392000).

99008136 is an abundant number, since it is smaller than the sum of its proper divisors (197775864).

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

99008136 is a wasteful number, since it uses less digits than its factorization.

99008136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99008136 is about 9950.2832120498. The cubic root of 99008136 is about 462.6191731856.

The spelling of 99008136 in words is "ninety-nine million, eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 59 68 72 102 108 118 136 153 177 204 216 236 306 354 408 457 459 472 531 612 708 914 918 1003 1062 1224 1371 1416 1593 1828 1836 2006 2124 2742 3009 3186 3656 3672 4012 4113 4248 5484 6018 6372 7769 8024 8226 9027 10968 12036 12339 12744 15538 16452 18054 23307 24072 24678 26963 27081 31076 32904 36108 46614 49356 53926 54162 62152 69921 72216 80889 93228 98712 107852 108324 139842 161778 186456 209763 215704 216648 242667 279684 323556 419526 458371 485334 559368 647112 728001 839052 916742 970668 1375113 1456002 1678104 1833484 1941336 2750226 2912004 3666968 4125339 5500452 5824008 8250678 11000904 12376017 16501356 24752034 33002712 49504068 99008136