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2060218880 = 2956179167
BaseRepresentation
bin111101011001100…
…0111001000000000
312022120122221222222
41322303013020000
513204404001010
6540233350212
7102024400016
oct17263071000
95276587888
102060218880
11967a37a35
12495b68368
1326aa9cb35
141578928b6
15c0d0a355
hex7acc7200

2060218880 has 160 divisors (see below), whose sum is σ = 5114672640. Its totient is φ = 795525120.

The previous prime is 2060218879. The next prime is 2060218913. The reversal of 2060218880 is 888120602.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 2060218880.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12336557 + ... + 12336723.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 22060218880 is an apocalyptic number.

2060218880 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 2060218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557336320).

2060218880 is an abundant number, since it is smaller than the sum of its proper divisors (3054453760).

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

2060218880 is an equidigital number, since it uses as much as digits as its factorization.

2060218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 2060218880 is about 45389.6340588906. The cubic root of 2060218880 is about 1272.4413905328.

The spelling of 2060218880 in words is "two billion, sixty million, two hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 79 80 122 128 158 160 167 244 256 305 316 320 334 395 488 512 610 632 640 668 790 835 976 1220 1264 1280 1336 1580 1670 1952 2440 2528 2560 2672 3160 3340 3904 4819 4880 5056 5344 6320 6680 7808 9638 9760 10112 10187 10688 12640 13193 13360 15616 19276 19520 20224 20374 21376 24095 25280 26386 26720 31232 38552 39040 40448 40748 42752 48190 50560 50935 52772 53440 65965 77104 78080 81496 85504 96380 101120 101870 105544 106880 131930 154208 156160 162992 192760 202240 203740 211088 213760 263860 308416 325984 385520 407480 422176 427520 527720 616832 651968 771040 804773 814960 844352 1055440 1233664 1303936 1542080 1609546 1629920 1688704 2110880 2467328 2607872 3084160 3219092 3259840 3377408 4023865 4221760 5215744 6168320 6438184 6519680 6754816 8047730 8443520 12336640 12876368 13039360 16095460 16887040 25752736 26078720 32190920 33774080 51505472 64381840 103010944 128763680 206021888 257527360 412043776 515054720 1030109440 2060218880