Search a number
-
+
604890 = 2325111347
BaseRepresentation
bin10010011101011011010
31010201202100
42103223122
5123324030
620544230
75066346
oct2235332
91121670
10604890
11383510
12252076
13182430
1411a626
15be360
hex93ada

604890 has 96 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 132480.

The previous prime is 604883. The next prime is 604907. The reversal of 604890 is 98406.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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 604890.

It is an unprimeable number.

604890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 47 ways as a sum of consecutive naturals, for example, 12847 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2604890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

604890 is an abundant number, since it is smaller than the sum of its proper divisors (1282086).

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

604890 is a wasteful number, since it uses less digits than its factorization.

604890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 604890 is about 777.7467454127. The cubic root of 604890 is about 84.5717793974.

It can be divided in two parts, 60 and 4890, that added together give a triangular number (4950 = T99).

The spelling of 604890 in words is "six hundred four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 47 55 65 66 78 90 94 99 110 117 130 141 143 165 195 198 234 235 282 286 330 390 423 429 470 495 517 585 611 705 715 846 858 990 1034 1170 1222 1287 1410 1430 1551 1833 2115 2145 2574 2585 3055 3102 3666 4230 4290 4653 5170 5499 6110 6435 6721 7755 9165 9306 10998 12870 13442 15510 18330 20163 23265 27495 33605 40326 46530 54990 60489 67210 100815 120978 201630 302445 604890