Search a number
-
+
2690894640 = 243571794219
BaseRepresentation
bin1010000001100011…
…1100101100110000
320221112101121111110
42200120330230300
521002332112030
61123003113320
7123453140610
oct24030745460
96845347443
102690894640
111160a37a75
12631212840
1333b649165
141b7542a40
1510b3871b0
hexa063cb30

2690894640 has 160 divisors (see below), whose sum is σ = 10094353920. Its totient is φ = 578875392.

The previous prime is 2690894639. The next prime is 2690894681. The reversal of 2690894640 is 464980962.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2690894640.

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 31 ways as a sum of consecutive naturals, for example, 18550 + ... + 75669.

It is an arithmetic number, because the mean of its divisors is an integer number (63089712).

Almost surely, 22690894640 is an apocalyptic number.

2690894640 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 2690894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047176960).

2690894640 is an abundant number, since it is smaller than the sum of its proper divisors (7403459280).

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

2690894640 is a wasteful number, since it uses less digits than its factorization.

2690894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94259 (or 94253 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 2690894640 is about 51873.8338664109. The cubic root of 2690894640 is about 1390.9095783982.

The spelling of 2690894640 in words is "two billion, six hundred ninety million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 94219 188438 282657 376876 471095 565314 659533 753752 942190 1130628 1319066 1413285 1507504 1601723 1884380 1978599 2261256 2638132 2826570 3203446 3297665 3768760 3957198 4522512 4805169 5276264 5653140 6406892 6595330 7537520 7914396 8008615 9610338 9892995 10552528 11212061 11306280 12813784 13190660 15828792 16017230 19220676 19785990 22424122 22612560 24025845 25627568 26381320 31657584 32034460 33636183 38441352 39571980 44848244 48051690 52762640 56060305 64068920 67272366 76882704 79143960 89696488 96103380 112120610 128137840 134544732 158287920 168180915 179392976 192206760 224241220 269089464 336361830 384413520 448482440 538178928 672723660 896964880 1345447320 2690894640