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854210420 = 225722327361
BaseRepresentation
bin110010111010100…
…011011101110100
32012112100101101222
4302322203131310
53222134213140
6220432405512
730111445250
oct6272433564
92175311358
10854210420
113a91a7a28
121ba0a6898
13107c8386b
148163b260
154eed45b5
hex32ea3774

854210420 has 48 divisors (see below), whose sum is σ = 2059373568. Its totient is φ = 291548160.

The previous prime is 854210393. The next prime is 854210447. The reversal of 854210420 is 24012458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (854210393) and next prime (854210447).

It is a self number, because there is not a number n which added to its sum of digits gives 854210420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17540 + ... + 44900.

It is an arithmetic number, because the mean of its divisors is an integer number (42903616).

Almost surely, 2854210420 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 854210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029686784).

854210420 is an abundant number, since it is smaller than the sum of its proper divisors (1205163148).

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

854210420 is a wasteful number, since it uses less digits than its factorization.

854210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27600 (or 27598 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 854210420 is about 29226.8783827490. The cubic root of 854210420 is about 948.8297390572.

Adding to 854210420 its reverse (24012458), we get a palindrome (878222878).

The spelling of 854210420 in words is "eight hundred fifty-four million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 223 446 892 1115 1561 2230 3122 4460 6244 7805 15610 27361 31220 54722 109444 136805 191527 273610 383054 547220 766108 957635 1915270 3830540 6101503 12203006 24406012 30507515 42710521 61015030 85421042 122030060 170842084 213552605 427105210 854210420