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620649120 = 253571321093
BaseRepresentation
bin100100111111100…
…101101010100000
31121020212020112110
4210333211222200
52232341232440
6141330355320
721244300440
oct4477455240
91536766473
10620649120
11299381963
12153a2bb40
139b778600
145c600120
153974b080
hex24fe5aa0

620649120 has 288 divisors, whose sum is σ = 2421643392. Its totient is φ = 130830336.

The previous prime is 620649119. The next prime is 620649149. The reversal of 620649120 is 21946026.

620649120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6206491203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567294 + ... + 568386.

It is an arithmetic number, because the mean of its divisors is an integer number (8408484).

Almost surely, 2620649120 is an apocalyptic number.

620649120 is a gapful number since it is divisible by the number (60) 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 620649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210821696).

620649120 is an abundant number, since it is smaller than the sum of its proper divisors (1800994272).

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

620649120 is a wasteful number, since it uses less digits than its factorization.

620649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 620649120 is about 24912.8304293189. The cubic root of 620649120 is about 852.9993783287. Note that the first 3 decimals are identical.

The spelling of 620649120 in words is "six hundred twenty million, six hundred forty-nine thousand, one hundred twenty".