Search a number
-
+
2071776280 = 235783239373
BaseRepresentation
bin111101101111100…
…1100110000011000
312100101102010202211
41323133030300120
513220333320110
6541325204504
7102224544040
oct17337146030
95311363684
102071776280
11973511202
12499a00734
132702b8532
14159220720
15c1d3e98a
hex7b7ccc18

2071776280 has 128 divisors (see below), whose sum is σ = 5428684800. Its totient is φ = 696955392.

The previous prime is 2071776263. The next prime is 2071776293. The reversal of 2071776280 is 826771702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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, 5554174 + ... + 5554546.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 22071776280 is an apocalyptic number.

2071776280 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 2071776280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

2071776280 is an abundant number, since it is smaller than the sum of its proper divisors (3356908520).

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

2071776280 is a wasteful number, since it uses less digits than its factorization.

2071776280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 2071776280 is about 45516.7692175093. The cubic root of 2071776280 is about 1274.8163323797.

The spelling of 2071776280 in words is "two billion, seventy-one million, seven hundred seventy-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 239 280 332 373 415 478 581 664 746 830 956 1162 1195 1492 1660 1673 1865 1912 2324 2390 2611 2905 2984 3320 3346 3730 4648 4780 5222 5810 6692 7460 8365 9560 10444 11620 13055 13384 14920 16730 19837 20888 23240 26110 30959 33460 39674 52220 61918 66920 79348 89147 99185 104440 123836 138859 154795 158696 178294 198370 216713 247672 277718 309590 356588 396740 433426 445735 555436 619180 624029 694295 713176 793480 866852 891470 1083565 1110872 1238360 1248058 1388590 1733704 1782940 2167130 2496116 2777180 3120145 3565880 4334260 4992232 5554360 6240290 7399201 8668520 12480580 14798402 24961160 29596804 36996005 51794407 59193608 73992010 103588814 147984020 207177628 258972035 295968040 414355256 517944070 1035888140 2071776280