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99298080 = 2532579851
BaseRepresentation
bin1011110101100…
…10101100100000
320220211212100200
411322302230200
5200410014310
613504145200
72314006530
oct572625440
9226755320
1099298080
1151062132
1229308200
131775917b
14d28b4c0
158ab69c0
hex5eb2b20

99298080 has 144 divisors (see below), whose sum is σ = 387301824. Its totient is φ = 22694400.

The previous prime is 99298079. The next prime is 99298093. The reversal of 99298080 is 8089299.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5155 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (2689596).

Almost surely, 299298080 is an apocalyptic number.

99298080 is a gapful number since it is divisible by the number (90) 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 99298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193650912).

99298080 is an abundant number, since it is smaller than the sum of its proper divisors (288003744).

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

99298080 is a wasteful number, since it uses less digits than its factorization.

99298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9868 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 99298080 is about 9964.8421964425. The cubic root of 99298080 is about 463.0703244255.

The spelling of 99298080 in words is "ninety-nine million, two hundred ninety-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 9851 10080 19702 29553 39404 49255 59106 68957 78808 88659 98510 118212 137914 147765 157616 177318 197020 206871 236424 275828 295530 315232 344785 354636 394040 413742 443295 472848 551656 591060 620613 689570 709272 788080 827484 886590 945696 1034355 1103312 1182120 1241226 1379140 1418544 1576160 1654968 1773180 2068710 2206624 2364240 2482452 2758280 2837088 3103065 3309936 3546360 4137420 4728480 4964904 5516560 6206130 6619872 7092720 8274840 9929808 11033120 12412260 14185440 16549680 19859616 24824520 33099360 49649040 99298080