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614142420 = 223547217781
BaseRepresentation
bin100100100110110…
…001000111010100
31120210121200000120
4210212301013110
52224210024140
6140535111540
721135060453
oct4446610724
91523550016
10614142420
11295738321
121518125b0
139a30aaa8
145b7c8b9a
1538db31d0
hex249b11d4

614142420 has 48 divisors (see below), whose sum is σ = 1756194048. Its totient is φ = 160286080.

The previous prime is 614142407. The next prime is 614142421. The reversal of 614142420 is 24241416.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614142421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106071 + ... + 111710.

It is an arithmetic number, because the mean of its divisors is an integer number (36587376).

Almost surely, 2614142420 is an apocalyptic number.

614142420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

614142420 is an abundant number, since it is smaller than the sum of its proper divisors (1142051628).

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

614142420 is a wasteful number, since it uses less digits than its factorization.

614142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217840 (or 217838 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 614142420 is about 24781.8970218182. The cubic root of 614142420 is about 850.0080368329.

Adding to 614142420 its reverse (24241416), we get a palindrome (638383836).

The spelling of 614142420 in words is "six hundred fourteen million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 217781 435562 653343 871124 1088905 1306686 2177810 2613372 3266715 4355620 6533430 10235707 13066860 20471414 30707121 40942828 51178535 61414242 102357070 122828484 153535605 204714140 307071210 614142420