Search a number
-
+
853001300 = 2252109139563
BaseRepresentation
bin110010110101111…
…100010001010100
32012110001221210202
4302311330101110
53221332020200
6220350440032
730065251154
oct6265742124
92173057722
10853001300
113a8551558
121b9803018
1310794c3c8
1481404764
154ed461d5
hex32d7c454

853001300 has 72 divisors (see below), whose sum is σ = 1884775200. Its totient is φ = 335041920.

The previous prime is 853001287. The next prime is 853001311. The reversal of 853001300 is 3100358.

853001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8530013002 = 1455222435603380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514819 + ... + 1515381.

Almost surely, 2853001300 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 853001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942387600).

853001300 is an abundant number, since it is smaller than the sum of its proper divisors (1031773900).

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

853001300 is a wasteful number, since it uses less digits than its factorization.

853001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 853001300 is about 29206.1859885881. The cubic root of 853001300 is about 948.3818436608.

Adding to 853001300 its reverse (3100358), we get a palindrome (856101658).

The spelling of 853001300 in words is "eight hundred fifty-three million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 139 218 278 436 545 556 563 695 1090 1126 1390 2180 2252 2725 2780 2815 3475 5450 5630 6950 10900 11260 13900 14075 15151 28150 30302 56300 60604 61367 75755 78257 122734 151510 156514 245468 303020 306835 313028 378775 391285 613670 757550 782570 1227340 1515100 1534175 1565140 1956425 3068350 3912850 6136700 7825700 8530013 17060026 34120052 42650065 85300130 170600260 213250325 426500650 853001300