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1990687160 = 235711258757
BaseRepresentation
bin111011010100111…
…0111100110111000
312010201211101102002
41312221313212320
513034103442120
6525311200132
7100221363440
oct16651674670
95121741362
101990687160
11931766800
12476816048
132595664c7
1414c553120
15b9b73375
hex76a779b8

1990687160 has 96 divisors (see below), whose sum is σ = 5626666080. Its totient is φ = 620463360.

The previous prime is 1990687159. The next prime is 1990687187. The reversal of 1990687160 is 617860991.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4502 + ... + 63258.

It is an arithmetic number, because the mean of its divisors is an integer number (58611105).

Almost surely, 21990687160 is an apocalyptic number.

1990687160 is a gapful number since it is divisible by the number (10) 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 1990687160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813333040).

1990687160 is an abundant number, since it is smaller than the sum of its proper divisors (3635978920).

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

1990687160 is a wasteful number, since it uses less digits than its factorization.

1990687160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58797 (or 58782 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 1990687160 is about 44617.1173430109. The cubic root of 1990687160 is about 1257.9624328355.

The spelling of 1990687160 in words is "one billion, nine hundred ninety million, six hundred eighty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880 58757 117514 235028 293785 411299 470056 587570 646327 822598 1175140 1292654 1645196 2056495 2350280 2585308 3231635 3290392 4112990 4524289 5170616 6463270 7109597 8225980 9048578 12926540 14219194 16451960 18097156 22621445 25853080 28438388 35547985 36194312 45242890 49767179 56876776 71095970 90485780 99534358 142191940 180971560 199068716 248835895 284383880 398137432 497671790 995343580 1990687160