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620508128 = 25294871373
BaseRepresentation
bin100100111111000…
…011001111100000
31121020121002010112
4210333003033200
52232322230003
6141323350452
721243142412
oct4477031740
91536532115
10620508128
11299295a39
12153982428
139b729396
145c5a49b2
153971e3d8
hex24fc33e0

620508128 has 48 divisors (see below), whose sum is σ = 1267267680. Its totient is φ = 298722816.

The previous prime is 620508079. The next prime is 620508149. The reversal of 620508128 is 821805026.

620508128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 620508094 and 620508103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451250 + ... + 452622.

It is an arithmetic number, because the mean of its divisors is an integer number (26401410).

Almost surely, 2620508128 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 620508128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633633840).

620508128 is an abundant number, since it is smaller than the sum of its proper divisors (646759552).

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

620508128 is a wasteful number, since it uses less digits than its factorization.

620508128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 620508128 is about 24910.0005620233. Note that the first 3 decimals coincide. The cubic root of 620508128 is about 852.9347818750.

The spelling of 620508128 in words is "six hundred twenty million, five hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 487 928 974 1373 1948 2746 3896 5492 7792 10984 14123 15584 21968 28246 39817 43936 56492 79634 112984 159268 225968 318536 451936 637072 668651 1274144 1337302 2674604 5349208 10698416 19390879 21396832 38781758 77563516 155127032 310254064 620508128