Search a number
-
+
853072 = 241137131
BaseRepresentation
bin11010000010001010000
31121100012021
43100101100
5204244242
630141224
710152043
oct3202120
91540167
10853072
11532a20
12351814
1323b39c
14182c5a
1511cb67
hexd0450

853072 has 40 divisors (see below), whose sum is σ = 1865952. Its totient is φ = 374400.

The previous prime is 853057. The next prime is 853079. The reversal of 853072 is 270358.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853079) by changing a digit.

853072 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 7 ways as a sum of consecutive naturals, for example, 6447 + ... + 6577.

2853072 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 853072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932976).

853072 is an abundant number, since it is smaller than the sum of its proper divisors (1012880).

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

853072 is a wasteful number, since it uses less digits than its factorization.

853072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 853072 is about 923.6189690560. The cubic root of 853072 is about 94.8408044771.

The spelling of 853072 in words is "eight hundred fifty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 131 148 176 262 296 407 524 592 814 1048 1441 1628 2096 2882 3256 4847 5764 6512 9694 11528 19388 23056 38776 53317 77552 106634 213268 426536 853072