[go: up one dir, main page]

Search a number
-
+
30707712 = 212327217
BaseRepresentation
bin111010100100…
…1000000000000
32010210010001200
41311021000000
530330121322
63014101200
7522003600
oct165110000
963703050
1030707712
1116374182
12a34a800
136492159
144114c00
152a688ac
hex1d49000

30707712 has 234 divisors, whose sum is σ = 109251558. Its totient is φ = 8257536.

The previous prime is 30707707. The next prime is 30707767. The reversal of 30707712 is 21770703.

It can be written as a sum of positive squares in only one way, i.e., 28901376 + 1806336 = 5376^2 + 1344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806328 + ... + 1806344.

It is an arithmetic number, because the mean of its divisors is an integer number (466887).

Almost surely, 230707712 is an apocalyptic number.

30707712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54625779).

30707712 is an abundant number, since it is smaller than the sum of its proper divisors (78543846).

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

30707712 is a wasteful number, since it uses less digits than its factorization.

30707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 30707712 is about 5541.4539608301. The cubic root of 30707712 is about 313.1476471363.

The spelling of 30707712 in words is "thirty million, seven hundred seven thousand, seven hundred twelve".