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146861 = 1113279
BaseRepresentation
bin100011110110101101
321110110022
4203312231
514144421
63051525
71151111
oct436655
9243408
10146861
11a0380
1270ba5
1351b00
143b741
152d7ab
hex23dad

146861 has 12 divisors (see below), whose sum is σ = 175680. Its totient is φ = 121680.

The previous prime is 146857. The next prime is 146891. The reversal of 146861 is 168641.

It is not a de Polignac number, because 146861 - 22 = 146857 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146861.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146861.

It is not an unprimeable number, because it can be changed into a prime (146801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1820 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (14640).

2146861 is an apocalyptic number.

146861 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146861 is a deficient number, since it is larger than the sum of its proper divisors (28819).

146861 is a wasteful number, since it uses less digits than its factorization.

146861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 146861 is about 383.2244772976. The cubic root of 146861 is about 52.7596809198.

The spelling of 146861 in words is "one hundred forty-six thousand, eight hundred sixty-one".

Divisors: 1 11 13 79 143 169 869 1027 1859 11297 13351 146861