Search a number
-
+
30363136 = 29311913
BaseRepresentation
bin111001111010…
…0111000000000
32010010121101121
41303310320000
530233110021
63002442024
7516040156
oct163647000
963117347
1030363136
1116159301
12a203314
1363a136b
1440653d6
1529eb741
hex1cf4e00

30363136 has 40 divisors (see below), whose sum is σ = 62656704. Its totient is φ = 14684160.

The previous prime is 30363133. The next prime is 30363163. The reversal of 30363136 is 63136303.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30363136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30363131) 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 3 ways as a sum of consecutive naturals, for example, 14916 + ... + 16828.

Almost surely, 230363136 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 30363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328352).

30363136 is an abundant number, since it is smaller than the sum of its proper divisors (32293568).

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

30363136 is an equidigital number, since it uses as much as digits as its factorization.

30363136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

The square root of 30363136 is about 5510.2754922054. The cubic root of 30363136 is about 311.9719457572.

Adding to 30363136 its reverse (63136303), we get a palindrome (93499439).

The spelling of 30363136 in words is "thirty million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1913 1984 3826 3968 7652 7936 15304 15872 30608 59303 61216 118606 122432 237212 244864 474424 489728 948848 979456 1897696 3795392 7590784 15181568 30363136