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2118382720 = 27529311367
BaseRepresentation
bin111111001000011…
…1111010010000000
312110122002222210021
41332100333102000
513314301221340
6550112143224
7103331645626
oct17620772200
95418088707
102118382720
11997854323
124b1537b14
13279b560cc
141614b3516
15c5e98e4a
hex7e43f480

2118382720 has 128 divisors (see below), whose sum is σ = 5270054400. Its totient is φ = 813281280.

The previous prime is 2118382703. The next prime is 2118382723. The reversal of 2118382720 is 272838112.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2118382723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771977 + ... + 5772343.

It is an arithmetic number, because the mean of its divisors is an integer number (41172300).

Almost surely, 22118382720 is an apocalyptic number.

2118382720 is a gapful number since it is divisible by the number (20) 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 2118382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635027200).

2118382720 is an abundant number, since it is smaller than the sum of its proper divisors (3151671680).

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

2118382720 is a wasteful number, since it uses less digits than its factorization.

2118382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 2118382720 is about 46025.8918436134. The cubic root of 2118382720 is about 1284.3049065135.

The spelling of 2118382720 in words is "two billion, one hundred eighteen million, three hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 311 320 367 464 580 622 640 734 928 1160 1244 1468 1555 1835 1856 2320 2488 2936 3110 3670 3712 4640 4976 5872 6220 7340 9019 9280 9952 10643 11744 12440 14680 18038 18560 19904 21286 23488 24880 29360 36076 39808 42572 45095 46976 49760 53215 58720 72152 85144 90190 99520 106430 114137 117440 144304 170288 180380 199040 212860 228274 234880 288608 340576 360760 425720 456548 570685 577216 681152 721520 851440 913096 1141370 1154432 1362304 1443040 1702880 1826192 2282740 2886080 3309973 3405760 3652384 4565480 5772160 6619946 6811520 7304768 9130960 13239892 14609536 16549865 18261920 26479784 33099730 36523840 52959568 66199460 73047680 105919136 132398920 211838272 264797840 423676544 529595680 1059191360 2118382720