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9930942720 = 28325862061
BaseRepresentation
bin10010011111110111…
…00010100100000000
3221122002211011100100
421033323202210000
5130314310131340
64321234322400
7501045422526
oct111773424400
927562734310
109930942720
114236838286
121b11a29400
13c235bba8a
146a2d08316
153d1cbb830
hex24fee2900

9930942720 has 108 divisors (see below), whose sum is σ = 34360067196. Its totient is φ = 2648248320.

The previous prime is 9930942701. The next prime is 9930942739. The reversal of 9930942720 is 272490399.

It is an interprime number because it is at equal distance from previous prime (9930942701) and next prime (9930942739).

It can be written as a sum of positive squares in 2 ways, for example, as 3681091584 + 6249851136 = 60672^2 + 79056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419511 + ... + 442550.

Almost surely, 29930942720 is an apocalyptic number.

9930942720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9930942720 is an abundant number, since it is smaller than the sum of its proper divisors (24429124476).

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

9930942720 is a wasteful number, since it uses less digits than its factorization.

9930942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862088 (or 862071 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9930942720 is about 99654.1154192841. The cubic root of 9930942720 is about 2149.4639168213.

The spelling of 9930942720 in words is "nine billion, nine hundred thirty million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 862061 1724122 2586183 3448244 4310305 5172366 6896488 7758549 8620610 10344732 12930915 13792976 15517098 17241220 20689464 25861830 27585952 31034196 34482440 38792745 41378928 51723660 55171904 62068392 68964880 77585490 82757856 103447320 110343808 124136784 137929760 155170980 165515712 206894640 220687616 248273568 275859520 310341960 331031424 413789280 496547136 551719040 620683920 662062848 827578560 993094272 1103438080 1241367840 1655157120 1986188544 2482735680 3310314240 4965471360 9930942720