Search a number
-
+
2071185088 = 26759127617
BaseRepresentation
bin111101101110011…
…1100011011000000
312100100022002210211
41323130330123000
513220210410323
6541304403504
7102216532330
oct17334743300
95310262724
102071185088
11973148015
12499776594
1327013c40b
141591090c0
15c1c7470d
hex7b73c6c0

2071185088 has 112 divisors (see below), whose sum is σ = 4822179840. Its totient is φ = 864331776.

The previous prime is 2071185059. The next prime is 2071185101. The reversal of 2071185088 is 8805811702.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2071185088.

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 15 ways as a sum of consecutive naturals, for example, 3356556 + ... + 3357172.

Almost surely, 22071185088 is an apocalyptic number.

2071185088 is a gapful number since it is divisible by the number (28) 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 2071185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411089920).

2071185088 is an abundant number, since it is smaller than the sum of its proper divisors (2750994752).

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

2071185088 is a wasteful number, since it uses less digits than its factorization.

2071185088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 40.

The square root of 2071185088 is about 45510.2745322416. The cubic root of 2071185088 is about 1274.6950623818.

The spelling of 2071185088 in words is "two billion, seventy-one million, one hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 127 224 236 254 413 448 472 508 617 826 889 944 1016 1234 1652 1778 1888 2032 2468 3304 3556 3776 4064 4319 4936 6608 7112 7493 8128 8638 9872 13216 14224 14986 17276 19744 26432 28448 29972 34552 36403 39488 52451 56896 59944 69104 72806 78359 104902 119888 138208 145612 156718 209804 239776 254821 276416 291224 313436 419608 479552 509642 548513 582448 626872 839216 1019284 1097026 1164896 1253744 1678432 2038568 2194052 2329792 2507488 3356864 4077136 4388104 4623181 5014976 8154272 8776208 9246362 16308544 17552416 18492724 32362267 35104832 36985448 64724534 73970896 129449068 147941792 258898136 295883584 517796272 1035592544 2071185088