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620145792 = 27327531451
BaseRepresentation
bin100100111101101…
…010110010000000
31121012220200002200
4210331222302000
52232224131132
6141311513200
721240103140
oct4475526200
91535820080
10620145792
11299068792
12153828800
139b630496
145c50c920
153969bd7c
hex24f6ac80

620145792 has 192 divisors, whose sum is σ = 2079380160. Its totient is φ = 173721600.

The previous prime is 620145781. The next prime is 620145797. The reversal of 620145792 is 297541026.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (620145797) 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 23 ways as a sum of consecutive naturals, for example, 426667 + ... + 428117.

It is an arithmetic number, because the mean of its divisors is an integer number (10830105).

Almost surely, 2620145792 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 620145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039690080).

620145792 is an abundant number, since it is smaller than the sum of its proper divisors (1459234368).

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

620145792 is a wasteful number, since it uses less digits than its factorization.

620145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 620145792 is about 24902.7265977041. The cubic root of 620145792 is about 852.7687302486.

The spelling of 620145792 in words is "six hundred twenty million, one hundred forty-five thousand, seven hundred ninety-two".