Search a number
-
+
2685196980 = 223453894261
BaseRepresentation
bin1010000000001100…
…1101101010110100
320221010200010210000
42200003031222310
520444402300410
61122241031300
7123353540424
oct24003155264
96833603700
102685196980
1111587a6264
1262b325530
1333a40296b
141b689c484
1510ab0ddc0
hexa00cdab4

2685196980 has 120 divisors (see below), whose sum is σ = 8447198760. Its totient is φ = 714044160.

The previous prime is 2685196973. The next prime is 2685196991. The reversal of 2685196980 is 896915862.

It is a happy number.

2685196980 is a `hidden beast` number, since 2 + 68 + 519 + 69 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 580039056 + 2105157924 = 24084^2 + 45882^2 .

It is a super-2 number, since 2×26851969802 = 14420565642802240800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 628050 + ... + 632310.

It is an arithmetic number, because the mean of its divisors is an integer number (70393323).

Almost surely, 22685196980 is an apocalyptic number.

2685196980 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 2685196980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223599380).

2685196980 is an abundant number, since it is smaller than the sum of its proper divisors (5762001780).

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

2685196980 is a wasteful number, since it uses less digits than its factorization.

2685196980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 2685196980 is about 51818.8863253544. The cubic root of 2685196980 is about 1389.9271876702.

The spelling of 2685196980 in words is "two billion, six hundred eighty-five million, one hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 389 405 540 778 810 1167 1556 1620 1945 2334 3501 3890 4261 4668 5835 7002 7780 8522 10503 11670 12783 14004 17044 17505 21006 21305 23340 25566 31509 35010 38349 42012 42610 51132 52515 63018 63915 70020 76698 85220 105030 115047 126036 127830 153396 157545 191745 210060 230094 255660 315090 345141 383490 460188 575235 630180 690282 766980 1150470 1380564 1657529 1725705 2300940 3315058 3451410 4972587 6630116 6902820 8287645 9945174 14917761 16575290 19890348 24862935 29835522 33150580 44753283 49725870 59671044 74588805 89506566 99451740 134259849 149177610 179013132 223766415 268519698 298355220 447532830 537039396 671299245 895065660 1342598490 2685196980