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1601613 = 36133
BaseRepresentation
bin110000111000001001101
310000101000000
412013001031
5402222423
654154513
716420266
oct6070115
93011000
101601613
119a4352
12652a39
13441000
142d996d
15219843
hex18704d

1601613 has 28 divisors (see below), whose sum is σ = 2601340. Its totient is φ = 985608.

The previous prime is 1601609. The next prime is 1601617. The reversal of 1601613 is 3161061.

The cubic root of 1601613 is 117.

It is a perfect power (a cube), and thus also a powerful number.

1601613 is a `hidden beast` number, since 1 + 601 + 61 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1601609) and next prime (1601617).

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 1542564 = 243^2 + 1242^2 .

It is not a de Polignac number, because 1601613 - 22 = 1601609 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601617) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 123195 + ... + 123207.

It is an arithmetic number, because the mean of its divisors is an integer number (92905).

21601613 is an apocalyptic number.

1601613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1601613 is a deficient number, since it is larger than the sum of its proper divisors (999727).

1601613 is an frugal number, since it uses more digits than its factorization.

1601613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 16 counting only the distinct ones).

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

The square root of 1601613 is about 1265.5484976879.

Adding to 1601613 its reverse (3161061), we get a palindrome (4762674).

The spelling of 1601613 in words is "one million, six hundred one thousand, six hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 169 243 351 507 729 1053 1521 2197 3159 4563 6591 9477 13689 19773 41067 59319 123201 177957 533871 1601613