Search a number
-
+
30980736 = 273226893
BaseRepresentation
bin111011000101…
…1101010000000
32011021222120200
41312023222000
530412340421
63024005200
7524221563
oct166135200
964258520
1030980736
1116540316
12a460800
1365594c7
1441864da
152abe726
hex1d8ba80

30980736 has 48 divisors (see below), whose sum is σ = 89153610. Its totient is φ = 10326528.

The previous prime is 30980693. The next prime is 30980759. The reversal of 30980736 is 63708903.

It can be written as a sum of positive squares in only one way, i.e., 18870336 + 12110400 = 4344^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30980736.

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 5 ways as a sum of consecutive naturals, for example, 12295 + ... + 14598.

Almost surely, 230980736 is an apocalyptic number.

30980736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30980736 is an abundant number, since it is smaller than the sum of its proper divisors (58172874).

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

30980736 is a wasteful number, since it uses less digits than its factorization.

30980736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26913 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30980736 is about 5566.0341357200. The cubic root of 30980736 is about 314.0729812645.

The spelling of 30980736 in words is "thirty million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 26893 53786 80679 107572 161358 215144 242037 322716 430288 484074 645432 860576 968148 1290864 1721152 1936296 2581728 3442304 3872592 5163456 7745184 10326912 15490368 30980736