Search a number
-
+
6755038020 = 2232537527989
BaseRepresentation
bin1100100101010000…
…11011001101000100
3122102202210111010100
412102220123031010
5102313242204040
63034143524100
7326252606253
oct62250331504
918382714110
106755038020
112957052055
1213862b9630
13838638723
144811d279a
1529807cb30
hex192a1b344

6755038020 has 36 divisors (see below), whose sum is σ = 20490282540. Its totient is φ = 1801343424.

The previous prime is 6755038007. The next prime is 6755038049. The reversal of 6755038020 is 208305576.

6755038020 is a `hidden beast` number, since 6 + 7 + 550 + 3 + 80 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1769548356 + 4985489664 = 42066^2 + 70608^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18763815 + ... + 18764174.

It is an arithmetic number, because the mean of its divisors is an integer number (569174515).

Almost surely, 26755038020 is an apocalyptic number.

6755038020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6755038020 is an abundant number, since it is smaller than the sum of its proper divisors (13735244520).

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

6755038020 is a wasteful number, since it uses less digits than its factorization.

6755038020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37528004 (or 37527999 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6755038020 is about 82189.0383202042. The cubic root of 6755038020 is about 1890.3516436496.

It can be divided in two parts, 67550 and 38020, that added together give a triangular number (105570 = T459).

The spelling of 6755038020 in words is "six billion, seven hundred fifty-five million, thirty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 37527989 75055978 112583967 150111956 187639945 225167934 337751901 375279890 450335868 562919835 675503802 750559780 1125839670 1351007604 1688759505 2251679340 3377519010 6755038020