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1830385141 = 13294855133
BaseRepresentation
bin110110100011001…
…0111010111110101
311201120012012101021
41231012113113311
512222034311031
6501343301141
763234005554
oct15506272765
94646165337
101830385141
1185a2284a2
12430baa7b1
1323229b440
14135145d9b
15aaa5b511
hex6d1975f5

1830385141 has 8 divisors (see below), whose sum is σ = 2039156280. Its totient is φ = 1631324352.

The previous prime is 1830385129. The next prime is 1830385163. The reversal of 1830385141 is 1415830381.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 224700100 + 1605685041 = 14990^2 + 40071^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1830385141 - 227 = 1696167413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1830385097 and 1830385106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830385541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427190 + ... + 2427943.

It is an arithmetic number, because the mean of its divisors is an integer number (254894535).

Almost surely, 21830385141 is an apocalyptic number.

It is an amenable number.

1830385141 is a deficient number, since it is larger than the sum of its proper divisors (208771139).

1830385141 is a wasteful number, since it uses less digits than its factorization.

1830385141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855175.

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 1830385141 is about 42783.0006077180. Note that the first 3 decimals coincide. The cubic root of 1830385141 is about 1223.2470033312.

The spelling of 1830385141 in words is "one billion, eight hundred thirty million, three hundred eighty-five thousand, one hundred forty-one".

Divisors: 1 13 29 377 4855133 63116729 140798857 1830385141