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853043940 = 2233572103313
BaseRepresentation
bin110010110110000…
…110101011100100
32012110011010022000
4302312012223210
53221334401230
6220351405300
730065516400
oct6266065344
92173133260
10853043940
113a85805a1
121b9823830
13107965938
1481416100
154ed53b60
hex32d86ae4

853043940 has 288 divisors, whose sum is σ = 3127138560. Its totient is φ = 192471552.

The previous prime is 853043927. The next prime is 853043951. The reversal of 853043940 is 49340358.

853043940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 853043895 and 853043904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2725224 + ... + 2725536.

It is an arithmetic number, because the mean of its divisors is an integer number (10858120).

Almost surely, 2853043940 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 853043940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563569280).

853043940 is an abundant number, since it is smaller than the sum of its proper divisors (2274094620).

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

853043940 is a wasteful number, since it uses less digits than its factorization.

853043940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 853043940 is about 29206.9159618060. The cubic root of 853043940 is about 948.3976460314.

The spelling of 853043940 in words is "eight hundred fifty-three million, forty-three thousand, nine hundred forty".