Search a number
-
+
2655628080 = 243576723593
BaseRepresentation
bin1001111001001001…
…1010101100110000
320212002000212212120
42132102122230300
520414320044310
61115303154240
7122544315630
oct23622325460
96762025776
102655628080
11114303a756
12621445980
1333424bc81
141b29a26c0
1510821cb70
hex9e49ab30

2655628080 has 160 divisors (see below), whose sum is σ = 9549341184. Its totient is φ = 597915648.

The previous prime is 2655628033. The next prime is 2655628103. The reversal of 2655628080 is 808265562.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100764 + ... + 124356.

Almost surely, 22655628080 is an apocalyptic number.

2655628080 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 2655628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774670592).

2655628080 is an abundant number, since it is smaller than the sum of its proper divisors (6893713104).

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

2655628080 is a wasteful number, since it uses less digits than its factorization.

2655628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23683 (or 23677 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2655628080 is about 51532.7864567791. The cubic root of 2655628080 is about 1384.8064702849.

The spelling of 2655628080 in words is "two billion, six hundred fifty-five million, six hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4690 5360 5628 7035 7504 8040 9380 11256 14070 16080 18760 22512 23593 28140 37520 47186 56280 70779 94372 112560 117965 141558 165151 188744 235930 283116 330302 353895 377488 471860 495453 566232 660604 707790 825755 943720 990906 1132464 1321208 1415580 1580731 1651510 1887440 1981812 2477265 2642416 2831160 3161462 3303020 3963624 4742193 4954530 5662320 6322924 6606040 7903655 7927248 9484386 9909060 11065117 12645848 13212080 15807310 18968772 19818120 22130234 23710965 25291696 31614620 33195351 37937544 39636240 44260468 47421930 55325585 63229240 66390702 75875088 88520936 94843860 110651170 126458480 132781404 165976755 177041872 189687720 221302340 265562808 331953510 379375440 442604680 531125616 663907020 885209360 1327814040 2655628080