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1330753541 = 13173591709
BaseRepresentation
bin100111101010001…
…1011000000000101
310102202001021200012
41033110123000011
510211133103131
6340014400005
744656134635
oct11724330005
93382037605
101330753541
116231a2917
12311800005
13182914c40
14c8a486c5
157bc6752b
hex4f51b005

1330753541 has 8 divisors (see below), whose sum is σ = 1441405560. Its totient is φ = 1221285312.

The previous prime is 1330753493. The next prime is 1330753603. The reversal of 1330753541 is 1453570331.

It can be written as a sum of positive squares in 4 ways, for example, as 9431041 + 1321322500 = 3071^2 + 36350^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1330753541 - 214 = 1330737157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1330753498 and 1330753507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330753741) by changing a digit.

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, 293606 + ... + 298103.

It is an arithmetic number, because the mean of its divisors is an integer number (180175695).

Almost surely, 21330753541 is an apocalyptic number.

It is an amenable number.

1330753541 is a deficient number, since it is larger than the sum of its proper divisors (110652019).

1330753541 is a wasteful number, since it uses less digits than its factorization.

1330753541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591895.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 1330753541 is about 36479.4948018747. The cubic root of 1330753541 is about 1099.9321007676.

The spelling of 1330753541 in words is "one billion, three hundred thirty million, seven hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 13 173 2249 591709 7692217 102365657 1330753541