Search a number
-
+
2081287000 = 235313374327
BaseRepresentation
bin111110000001101…
…1110101101011000
312101001022100000201
41330003132231120
513230302141000
6542305111544
7102401435062
oct17403365530
95331270021
102081287000
11978917801
124a10285b4
13272268490
1415a5b8732
15c2abc96a
hex7c0deb58

2081287000 has 128 divisors (see below), whose sum is σ = 5387840640. Its totient is φ = 747532800.

The previous prime is 2081286973. The next prime is 2081287003. The reversal of 2081287000 is 7821802.

It is a self number, because there is not a number n which added to its sum of digits gives 2081287000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081287003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 478837 + ... + 483163.

It is an arithmetic number, because the mean of its divisors is an integer number (42092505).

Almost surely, 22081287000 is an apocalyptic number.

2081287000 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 2081287000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693920320).

2081287000 is an abundant number, since it is smaller than the sum of its proper divisors (3306553640).

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

2081287000 is a wasteful number, since it uses less digits than its factorization.

2081287000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2081287000 is about 45621.1244929364. The cubic root of 2081287000 is about 1276.7640837918.

The spelling of 2081287000 in words is "two billion, eighty-one million, two hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 125 130 148 185 200 250 260 296 325 370 481 500 520 650 740 925 962 1000 1300 1480 1625 1850 1924 2405 2600 3250 3700 3848 4327 4625 4810 6500 7400 8654 9250 9620 12025 13000 17308 18500 19240 21635 24050 34616 37000 43270 48100 56251 60125 86540 96200 108175 112502 120250 160099 173080 216350 225004 240500 281255 320198 432700 450008 481000 540875 562510 640396 800495 865400 1081750 1125020 1280792 1406275 1600990 2081287 2163500 2250040 2812550 3201980 4002475 4162574 4327000 5625100 6403960 7031375 8004950 8325148 10406435 11250200 14062750 16009900 16650296 20012375 20812870 28125500 32019800 40024750 41625740 52032175 56251000 80049500 83251480 104064350 160099000 208128700 260160875 416257400 520321750 1040643500 2081287000