Search a number
-
+
99240000120 = 23335547167987
BaseRepresentation
bin101110001101100101…
…0100011101001111000
3100111011012120100102000
41130123022203221320
53111220420000440
6113331253341000
710112155040262
oct1343312435170
9314135510360
1099240000120
11390a6435a28
1217297337760
139487223481
144b36148b32
1528ac664730
hex171b2a3a78

99240000120 has 128 divisors (see below), whose sum is σ = 331406726400. Its totient is φ = 26415462528.

The previous prime is 99240000103. The next prime is 99240000127. The reversal of 99240000120 is 2100004299.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99240000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506767 + ... + 674753.

It is an arithmetic number, because the mean of its divisors is an integer number (2589115050).

Almost surely, 299240000120 is an apocalyptic number.

99240000120 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 99240000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165703363200).

99240000120 is an abundant number, since it is smaller than the sum of its proper divisors (232166726280).

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

99240000120 is a wasteful number, since it uses less digits than its factorization.

99240000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168554 (or 168544 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 99240000120 in words is "ninety-nine billion, two hundred forty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 547 1080 1094 1641 2188 2735 3282 4376 4923 5470 6564 8205 9846 10940 13128 14769 16410 19692 21880 24615 29538 32820 39384 49230 59076 65640 73845 98460 118152 147690 167987 196920 295380 335974 503961 590760 671948 839935 1007922 1343896 1511883 1679870 2015844 2519805 3023766 3359740 4031688 4535649 5039610 6047532 6719480 7559415 9071298 10079220 12095064 15118830 18142596 20158440 22678245 30237660 36285192 45356490 60475320 90712980 91888889 181425960 183777778 275666667 367555556 459444445 551333334 735111112 827000001 918888890 1102666668 1378333335 1654000002 1837777780 2205333336 2481000003 2756666670 3308000004 3675555560 4135000005 4962000006 5513333340 6616000008 8270000010 9924000012 11026666680 12405000015 16540000020 19848000024 24810000030 33080000040 49620000060 99240000120