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20853400 = 2352127821
BaseRepresentation
bin100111110001…
…1001010011000
31110020110111011
41033203022120
520314302100
62022543304
7342152041
oct117431230
943213434
1020853400
1110853517
126b97b34
1344219b9
142aab8c8
151c6dbba
hex13e3298

20853400 has 48 divisors (see below), whose sum is σ = 48925440. Its totient is φ = 8265600.

The previous prime is 20853389. The next prime is 20853401. The reversal of 20853400 is 435802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20853401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24990 + ... + 25810.

It is an arithmetic number, because the mean of its divisors is an integer number (1019280).

Almost surely, 220853400 is an apocalyptic number.

20853400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462720).

20853400 is an abundant number, since it is smaller than the sum of its proper divisors (28072040).

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

20853400 is a wasteful number, since it uses less digits than its factorization.

20853400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 20853400 is about 4566.5523100037. The cubic root of 20853400 is about 275.2489206231.

The spelling of 20853400 in words is "twenty million, eight hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 821 1016 1270 1642 2540 3175 3284 4105 5080 6350 6568 8210 12700 16420 20525 25400 32840 41050 82100 104267 164200 208534 417068 521335 834136 1042670 2085340 2606675 4170680 5213350 10426700 20853400