Search a number
-
+
858420 = 2232519251
BaseRepresentation
bin11010001100100110100
31121121112100
43101210310
5204432140
630222100
710203453
oct3214464
91547470
10858420
11536a42
12354930
13240954
14184b9a
1511e530
hexd1934

858420 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 216000.

The previous prime is 858397. The next prime is 858427. The reversal of 858420 is 24858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3295 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2858420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 858420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

858420 is an abundant number, since it is smaller than the sum of its proper divisors (1893420).

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

858420 is a wasteful number, since it uses less digits than its factorization.

858420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 858420 is about 926.5095790115. The cubic root of 858420 is about 95.0385808209.

The spelling of 858420 in words is "eight hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 251 285 342 380 502 570 684 753 855 1004 1140 1255 1506 1710 2259 2510 3012 3420 3765 4518 4769 5020 7530 9036 9538 11295 14307 15060 19076 22590 23845 28614 42921 45180 47690 57228 71535 85842 95380 143070 171684 214605 286140 429210 858420