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2105928160 = 2557712373
BaseRepresentation
bin111110110000101…
…1110100111100000
312102202200020100021
41331201132213200
513303104200120
6544545203224
7103121044150
oct17541364740
95382606307
102105928160
11990817aa6
124a9330514
132773b524b
1415d990760
15c4d38aaa
hex7d85e9e0

2105928160 has 144 divisors (see below), whose sum is σ = 5782680288. Its totient is φ = 709954560.

The previous prime is 2105928157. The next prime is 2105928173. The reversal of 2105928160 is 618295012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5645734 + ... + 5646106.

It is an arithmetic number, because the mean of its divisors is an integer number (40157502).

Almost surely, 22105928160 is an apocalyptic number.

2105928160 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 2105928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891340144).

2105928160 is an abundant number, since it is smaller than the sum of its proper divisors (3676752128).

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

2105928160 is an equidigital number, since it uses as much as digits as its factorization.

2105928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 2105928160 is about 45890.3928943739. The cubic root of 2105928160 is about 1281.7830294244.

The spelling of 2105928160 in words is "two billion, one hundred five million, nine hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 80 112 140 142 160 224 280 284 355 373 497 560 568 710 746 994 1120 1136 1420 1492 1865 1988 2272 2485 2611 2840 2984 3730 3976 4970 5041 5222 5680 5968 7460 7952 9940 10082 10444 11360 11936 13055 14920 15904 19880 20164 20888 25205 26110 26483 29840 35287 39760 40328 41776 50410 52220 52966 59680 70574 79520 80656 83552 100820 104440 105932 132415 141148 161312 176435 185381 201640 208880 211864 264830 282296 352870 370762 403280 417760 423728 529660 564592 705740 741524 806560 847456 926905 1059320 1129184 1411480 1483048 1853810 1880293 2118640 2822960 2966096 3707620 3760586 4237280 5645920 5932192 7415240 7521172 9401465 13162051 14830480 15042344 18802930 26324102 29660960 30084688 37605860 52648204 60169376 65810255 75211720 105296408 131620510 150423440 210592816 263241020 300846880 421185632 526482040 1052964080 2105928160