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307005005420 = 225196723935039
BaseRepresentation
bin1000111011110101110…
…11001001111001101100
31002100102201002011200022
410131322323021321230
520012221240133140
6353011450421312
731115604326561
oct4357273117154
91070381064608
10307005005420
1110922235a583
124b5bb431838
1322c48197c29
1410c05602868
157ebc6660b5
hex477aec9e6c

307005005420 has 96 divisors (see below), whose sum is σ = 689196211200. Its totient is φ = 114531715584.

The previous prime is 307005005407. The next prime is 307005005429. The reversal of 307005005420 is 24500500703.

It is a self number, because there is not a number n which added to its sum of digits gives 307005005420.

It is not an unprimeable number, because it can be changed into a prime (307005005429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60923261 + ... + 60928299.

It is an arithmetic number, because the mean of its divisors is an integer number (7179127200).

Almost surely, 2307005005420 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 307005005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344598105600).

307005005420 is an abundant number, since it is smaller than the sum of its proper divisors (382191205780).

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

307005005420 is a wasteful number, since it uses less digits than its factorization.

307005005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The spelling of 307005005420 in words is "three hundred seven billion, five million, five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2393 2546 4786 5039 5092 6365 9572 10078 11965 12730 20156 23930 25195 25460 45467 47860 50390 90934 95741 100780 160331 181868 191482 227335 320662 337613 382964 454670 478705 641324 675226 801655 909340 957410 1350452 1603310 1688065 1914820 3046289 3206620 3376130 6092578 6414647 6752260 12058327 12185156 12829294 15231445 24116654 25658588 30462890 32073235 48233308 60291635 60925780 64146470 120583270 128292940 229108213 241166540 458216426 807907909 916432852 1145541065 1615815818 2291082130 3231631636 4039539545 4582164260 8079079090 15350250271 16158158180 30700500542 61401001084 76751251355 153502502710 307005005420