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6180381 = 34411861
BaseRepresentation
bin10111100100111000011101
3102121222220000
4113210320131
53040233011
6340244513
7103350414
oct27447035
912558800
106180381
113541459
1220a0739
13138513c
14b6c47b
15821356
hex5e4e1d

6180381 has 20 divisors (see below), whose sum is σ = 9462684. Its totient is φ = 4017600.

The previous prime is 6180379. The next prime is 6180389. The reversal of 6180381 is 1830816.

It can be written as a sum of positive squares in 2 ways, for example, as 99225 + 6081156 = 315^2 + 2466^2 .

It is not a de Polignac number, because 6180381 - 21 = 6180379 is a prime.

It is a super-2 number, since 2×61803812 = 76394218610322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6180389) 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 19 ways as a sum of consecutive naturals, for example, 2391 + ... + 4251.

Almost surely, 26180381 is an apocalyptic number.

It is an amenable number.

6180381 is a deficient number, since it is larger than the sum of its proper divisors (3282303).

6180381 is a wasteful number, since it uses less digits than its factorization.

6180381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6180381 is about 2486.0372080884. The cubic root of 6180381 is about 183.5150767062.

It can be divided in two parts, 6180 and 381, that added together give a 8-th power (6561 = 38).

The spelling of 6180381 in words is "six million, one hundred eighty thousand, three hundred eighty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 1861 3321 5583 16749 50247 76301 150741 228903 686709 2060127 6180381