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390141 = 3267647
BaseRepresentation
bin1011111001111111101
3201211011200
41133033331
544441031
612210113
73213303
oct1371775
9654150
10390141
11247134
12169939
1310876b
14a2273
157a8e6
hex5f3fd

390141 has 12 divisors (see below), whose sum is σ = 572832. Its totient is φ = 255816.

The previous prime is 390119. The next prime is 390151. The reversal of 390141 is 141093.

It is not a de Polignac number, because 390141 - 25 = 390109 is a prime.

390141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (47736).

2390141 is an apocalyptic number.

It is an amenable number.

390141 is a deficient number, since it is larger than the sum of its proper divisors (182691).

390141 is a wasteful number, since it uses less digits than its factorization.

390141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 390141 is about 624.6126799866. The cubic root of 390141 is about 73.0702395194.

The spelling of 390141 in words is "three hundred ninety thousand, one hundred forty-one".

Divisors: 1 3 9 67 201 603 647 1941 5823 43349 130047 390141