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2105655020 = 2257175316693
BaseRepresentation
bin111110110000001…
…1011111011101100
312102202011100122222
41331200123323230
513303021430040
6544535254512
7103115525630
oct17540337354
95382140588
102105655020
11990650867
124a921a438
1327731ab21
1415d91cdc0
15c4cd2bb5
hex7d81beec

2105655020 has 96 divisors (see below), whose sum is σ = 5452126848. Its totient is φ = 666611712.

The previous prime is 2105655017. The next prime is 2105655043. The reversal of 2105655020 is 205565012.

It is an unprimeable number.

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, 117794 + ... + 134486.

It is an arithmetic number, because the mean of its divisors is an integer number (56792988).

Almost surely, 22105655020 is an apocalyptic number.

2105655020 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 2105655020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726063424).

2105655020 is an abundant number, since it is smaller than the sum of its proper divisors (3346471828).

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

2105655020 is a wasteful number, since it uses less digits than its factorization.

2105655020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16779 (or 16777 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 2105655020 is about 45887.4167937137. The cubic root of 2105655020 is about 1281.7276110487.

The spelling of 2105655020 in words is "two billion, one hundred five million, six hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 53 68 70 85 106 119 140 170 212 238 265 340 371 476 530 595 742 901 1060 1190 1484 1802 1855 2380 3604 3710 4505 6307 7420 9010 12614 16693 18020 25228 31535 33386 63070 66772 83465 116851 126140 166930 233702 283781 333860 467404 567562 584255 884729 1135124 1168510 1418905 1769458 1986467 2337020 2837810 3538916 3972934 4423645 5675620 6193103 7945868 8847290 9932335 12386206 15040393 17694580 19864670 24772412 30080786 30965515 39729340 60161572 61931030 75201965 105282751 123862060 150403930 210565502 300807860 421131004 526413755 1052827510 2105655020