Search a number
-
+
146319 = 31719151
BaseRepresentation
bin100011101110001111
321102201020
4203232033
514140234
63045223
71146405
oct435617
9242636
10146319
119aa28
1270813
13517a4
143b475
152d549
hex23b8f

146319 has 16 divisors (see below), whose sum is σ = 218880. Its totient is φ = 86400.

The previous prime is 146317. The next prime is 146323. The reversal of 146319 is 913641.

It is not a de Polignac number, because 146319 - 21 = 146317 is a prime.

It is a super-2 number, since 2×1463192 = 42818499522, which contains 22 as substring.

146319 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146317) 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 15 ways as a sum of consecutive naturals, for example, 894 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2146319 is an apocalyptic number.

146319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

146319 is a deficient number, since it is larger than the sum of its proper divisors (72561).

146319 is a wasteful number, since it uses less digits than its factorization.

146319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its digits is 648, while the sum is 24.

The square root of 146319 is about 382.5166663036. The cubic root of 146319 is about 52.6946965751.

It can be divided in two parts, 146 and 319, that added together give a triangular number (465 = T30).

The spelling of 146319 in words is "one hundred forty-six thousand, three hundred nineteen".

Divisors: 1 3 17 19 51 57 151 323 453 969 2567 2869 7701 8607 48773 146319