Search a number
-
+
853020 = 223257677
BaseRepresentation
bin11010000010000011100
31121100010100
43100100130
5204244040
630141100
710151640
oct3202034
91540110
10853020
11532983
12351790
1323b35c
14182c20
1511cb30
hexd041c

853020 has 72 divisors (see below), whose sum is σ = 2961504. Its totient is φ = 194688.

The previous prime is 853007. The next prime is 853031. The reversal of 853020 is 20358.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 852984 and 853002.

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 853020.

It is an unprimeable number.

853020 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (41132).

2853020 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 853020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480752).

853020 is an abundant number, since it is smaller than the sum of its proper divisors (2108484).

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

853020 is a wasteful number, since it uses less digits than its factorization.

853020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 853020 is about 923.5908184905. The cubic root of 853020 is about 94.8388773940.

Adding to 853020 its reverse (20358), we get a palindrome (873378).

The spelling of 853020 in words is "eight hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 677 1260 1354 2031 2708 3385 4062 4739 6093 6770 8124 9478 10155 12186 13540 14217 18956 20310 23695 24372 28434 30465 40620 42651 47390 56868 60930 71085 85302 94780 121860 142170 170604 213255 284340 426510 853020