[go: up one dir, main page]

Search a number
-
+
8071080240 = 243533629501
BaseRepresentation
bin1111000010001001…
…01110100100110000
3202211111011100122210
413201010232210300
5113012144031430
63412515132120
7404003023116
oct74104564460
922744140583
108071080240
113471a07053
121692ba4040
139b819c532
14567ccbab6
1532388b2b0
hex1e112e930

8071080240 has 40 divisors (see below), whose sum is σ = 25020349488. Its totient is φ = 2152288000.

The previous prime is 8071080229. The next prime is 8071080247. The reversal of 8071080240 is 420801708.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8071080198 and 8071080207.

It is not an unprimeable number, because it can be changed into a prime (8071080247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16814511 + ... + 16814990.

Almost surely, 28071080240 is an apocalyptic number.

8071080240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8071080240 is an abundant number, since it is smaller than the sum of its proper divisors (16949269248).

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

8071080240 is a wasteful number, since it uses less digits than its factorization.

8071080240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33629517 (or 33629511 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 8071080240 is about 89839.1910025908. The cubic root of 8071080240 is about 2005.9058963611.

Adding to 8071080240 its reverse (420801708), we get a palindrome (8491881948).

The spelling of 8071080240 in words is "eight billion, seventy-one million, eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 33629501 67259002 100888503 134518004 168147505 201777006 269036008 336295010 403554012 504442515 538072016 672590020 807108024 1008885030 1345180040 1614216048 2017770060 2690360080 4035540120 8071080240