Search a number
-
+
3013960768 = 26713517507
BaseRepresentation
bin1011001110100101…
…0110010001000000
321210001022001220121
42303221112101000
522133033221033
61215023350024
7134455146430
oct26351262100
97701261817
103013960768
111307336375
12701452314
13390561b50
142083dc2c0
1512990062d
hexb3a56440

3013960768 has 56 divisors (see below), whose sum is σ = 7361033792. Its totient is φ = 1192333824.

The previous prime is 3013960757. The next prime is 3013960793. The reversal of 3013960768 is 8670693103.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×30139607682 = 18167919022086299648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252930 + ... + 264577.

It is an arithmetic number, because the mean of its divisors is an integer number (131447032).

Almost surely, 23013960768 is an apocalyptic number.

It is an amenable number.

3013960768 is an abundant number, since it is smaller than the sum of its proper divisors (4347073024).

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

3013960768 is a wasteful number, since it uses less digits than its factorization.

3013960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517539 (or 517529 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 3013960768 is about 54899.5516192983. The cubic root of 3013960768 is about 1444.4833213012.

The spelling of 3013960768 in words is "three billion, thirteen million, nine hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 517507 1035014 2070028 3622549 4140056 6727591 7245098 8280112 13455182 14490196 16560224 26910364 28980392 33120448 47093137 53820728 57960784 94186274 107641456 115921568 188372548 215282912 231843136 376745096 430565824 753490192 1506980384 3013960768