Search a number
-
+
80805007240 = 23517294097617
BaseRepresentation
bin100101101000001011…
…0101000111110001000
321201120102212200022221
41023100112220332020
52310442040212430
6101042111423424
75560265141326
oct1132026507610
9251512780287
1080805007240
11312a6357a21
12137b1524b74
137809b4bb69
143ca7a48d16
15217ded457a
hex12d05a8f88

80805007240 has 64 divisors (see below), whose sum is σ = 199144234800. Its totient is φ = 29371711488.

The previous prime is 80805007229. The next prime is 80805007249. The reversal of 80805007240 is 4270050808.

It can be written as a sum of positive squares in 8 ways, for example, as 38305535524 + 42499471716 = 195718^2 + 206154^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 80805007196 and 80805007205.

It is not an unprimeable number, because it can be changed into a prime (80805007249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029089 + ... + 2068528.

Almost surely, 280805007240 is an apocalyptic number.

It is an amenable number.

80805007240 is an abundant number, since it is smaller than the sum of its proper divisors (118339227560).

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

80805007240 is a wasteful number, since it uses less digits than its factorization.

80805007240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097674 (or 4097670 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 80805007240 in words is "eighty billion, eight hundred five million, seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 4097617 8195234 16390468 20488085 32780936 40976170 69659489 81952340 118830893 139318978 163904680 237661786 278637956 348297445 475323572 557275912 594154465 696594890 950647144 1188308930 1393189780 2020125181 2376617860 2786379560 4040250362 4753235720 8080500724 10100625905 16161001448 20201251810 40402503620 80805007240