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149301 = 3253313
BaseRepresentation
bin100100011100110101
321120210200
4210130311
514234201
63111113
71161165
oct443465
9246720
10149301
11a2199
1272499
1352c59
143c5a5
152e386
hex24735

149301 has 12 divisors (see below), whose sum is σ = 220428. Its totient is φ = 97344.

The previous prime is 149297. The next prime is 149309. The reversal of 149301 is 103941.

149301 is nontrivially palindromic in base 6.

149301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 108900 = 201^2 + 330^2 .

It is not a de Polignac number, because 149301 - 22 = 149297 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

149301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149309) 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, 321 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (18369).

2149301 is an apocalyptic number.

It is an amenable number.

149301 is a deficient number, since it is larger than the sum of its proper divisors (71127).

149301 is a wasteful number, since it uses less digits than its factorization.

149301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 369 counting only the distinct ones).

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

The square root of 149301 is about 386.3948757424. The cubic root of 149301 is about 53.0502667758.

The spelling of 149301 in words is "one hundred forty-nine thousand, three hundred one".

Divisors: 1 3 9 53 159 313 477 939 2817 16589 49767 149301