Search a number
-
+
671814 = 234111329
BaseRepresentation
bin10100100000001000110
31021010120000
42210001012
5132444224
622222130
75465433
oct2440106
91233500
10671814
11419820
12284946
131a6a30
14136b8a
15d40c9
hexa4046

671814 has 80 divisors (see below), whose sum is σ = 1829520. Its totient is φ = 181440.

The previous prime is 671791. The next prime is 671831. The reversal of 671814 is 418176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 671814.

It is an unprimeable number.

671814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23152 + ... + 23180.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2671814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914760).

671814 is an abundant number, since it is smaller than the sum of its proper divisors (1157706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

671814 is a wasteful number, since it uses less digits than its factorization.

671814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 671814 is about 819.6426050420. The cubic root of 671814 is about 87.5823007965.

It can be divided in two parts, 671 and 814, that added together give a triangular number (1485 = T54).

The spelling of 671814 in words is "six hundred seventy-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 29 33 39 54 58 66 78 81 87 99 117 143 162 174 198 234 261 286 297 319 351 377 429 522 594 638 702 754 783 858 891 957 1053 1131 1287 1566 1782 1914 2106 2262 2349 2574 2871 3393 3861 4147 4698 5742 6786 7722 8294 8613 10179 11583 12441 17226 20358 23166 24882 25839 30537 37323 51678 61074 74646 111969 223938 335907 671814