Search a number
-
+
30078080 = 27546997
BaseRepresentation
bin111001010111…
…1010010000000
32002121010100222
41302233102000
530144444310
62552402212
7513442124
oct162572200
962533328
1030078080
1115a8411a
12a0a6368
1363016a6
143dcd584
152992055
hex1caf480

30078080 has 32 divisors (see below), whose sum is σ = 71906940. Its totient is φ = 12030976.

The previous prime is 30078079. The next prime is 30078119. The reversal of 30078080 is 8087003.

It can be written as a sum of positive squares in 2 ways, for example, as 29855296 + 222784 = 5464^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22859 + ... + 24138.

Almost surely, 230078080 is an apocalyptic number.

It is an amenable number.

30078080 is an abundant number, since it is smaller than the sum of its proper divisors (41828860).

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

30078080 is an equidigital number, since it uses as much as digits as its factorization.

30078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47016 (or 47004 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 30078080 is about 5484.3486395378. The cubic root of 30078080 is about 310.9925867486.

The spelling of 30078080 in words is "thirty million, seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 46997 93994 187988 234985 375976 469970 751952 939940 1503904 1879880 3007808 3759760 6015616 7519520 15039040 30078080