Search a number
-
+
30311060 = 22513731597
BaseRepresentation
bin111001110100…
…0001010010100
32010000221221212
41303220022110
530224423220
63001400552
7515432303
oct163501224
963027855
1030311060
111612316a
12a199158
136383750
14405043a
1529db0c5
hex1ce8294

30311060 has 48 divisors (see below), whose sum is σ = 69532176. Its totient is φ = 11031552.

The previous prime is 30311059. The next prime is 30311063. The reversal of 30311060 is 6011303.

30311060 = T347 + T348 + ... + T606.

It can be written as a sum of positive squares in 8 ways, for example, as 4443664 + 25867396 = 2108^2 + 5086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18182 + ... + 19778.

It is an arithmetic number, because the mean of its divisors is an integer number (1448587).

Almost surely, 230311060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30311060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34766088).

30311060 is an abundant number, since it is smaller than the sum of its proper divisors (39221116).

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

30311060 is a wasteful number, since it uses less digits than its factorization.

30311060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 30311060 is about 5505.5481107697. The cubic root of 30311060 is about 311.7934886974.

Adding to 30311060 its reverse (6011303), we get a palindrome (36322363).

The spelling of 30311060 in words is "thirty million, three hundred eleven thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1597 1898 3194 3796 4745 6388 7985 9490 15970 18980 20761 31940 41522 83044 103805 116581 207610 233162 415220 466324 582905 1165810 1515553 2331620 3031106 6062212 7577765 15155530 30311060