Search a number
-
+
8240668080 = 243534336117
BaseRepresentation
bin1111010110010111…
…01001110110110000
3210021022021022102220
413223023221312300
5113334102334310
63441414041040
7411132344241
oct75313516660
923238238386
108240668080
113549707997
12171b949180
13a14369078
14582634cc8
153336d9670
hex1eb2e9db0

8240668080 has 40 divisors (see below), whose sum is σ = 25546071792. Its totient is φ = 2197511424.

The previous prime is 8240668021. The next prime is 8240668099. The reversal of 8240668080 is 808660428.

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

It is a super-2 number, since 2×82406680802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17167819 + ... + 17168298.

Almost surely, 28240668080 is an apocalyptic number.

8240668080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8240668080 is an abundant number, since it is smaller than the sum of its proper divisors (17305403712).

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

8240668080 is a wasteful number, since it uses less digits than its factorization.

8240668080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34336133 (or 34336127 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8240668080 is about 90778.1255589693. The cubic root of 8240668080 is about 2019.8578536056.

The spelling of 8240668080 in words is "eight billion, two hundred forty million, six hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 34336117 68672234 103008351 137344468 171680585 206016702 274688936 343361170 412033404 515041755 549377872 686722340 824066808 1030083510 1373444680 1648133616 2060167020 2746889360 4120334040 8240668080