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811142380 = 2252316710559
BaseRepresentation
bin110000010110010…
…000110011101100
32002112022022011101
4300112100303230
53130123024010
6212253332444
726046411406
oct6026206354
92075268141
10811142380
11386961304
121a7797124
13cc084709
1479a29b76
154b32873a
hex30590cec

811142380 has 48 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 308462528.

The previous prime is 811142377. The next prime is 811142459. The reversal of 811142380 is 83241118.

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 15 ways as a sum of consecutive naturals, for example, 71541 + ... + 82099.

It is an arithmetic number, because the mean of its divisors is an integer number (37255680).

Almost surely, 2811142380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

811142380 is an abundant number, since it is smaller than the sum of its proper divisors (977130260).

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

811142380 is a wasteful number, since it uses less digits than its factorization.

811142380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 811142380 is about 28480.5614410952. The cubic root of 811142380 is about 932.6077731240.

Adding to 811142380 its reverse (83241118), we get a palindrome (894383498).

The spelling of 811142380 in words is "eight hundred eleven million, one hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 167 230 334 460 668 835 1670 3340 3841 7682 10559 15364 19205 21118 38410 42236 52795 76820 105590 211180 242857 485714 971428 1214285 1763353 2428570 3526706 4857140 7053412 8816765 17633530 35267060 40557119 81114238 162228476 202785595 405571190 811142380