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620205664 = 25132731571
BaseRepresentation
bin100100111101111…
…001011001100000
31121020000201020011
4210331321121200
52232233040124
6141313054304
721240442531
oct4475713140
91536021204
10620205664
112990a9771
12153857394
139b651800
145c526688
15396ae994
hex24f79660

620205664 has 72 divisors (see below), whose sum is σ = 1341145512. Its totient is φ = 282147840.

The previous prime is 620205653. The next prime is 620205721. The reversal of 620205664 is 466502026.

620205664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393999 + ... + 395569.

It is an arithmetic number, because the mean of its divisors is an integer number (18627021).

Almost surely, 2620205664 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 620205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670572756).

620205664 is an abundant number, since it is smaller than the sum of its proper divisors (720939848).

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

620205664 is a wasteful number, since it uses less digits than its factorization.

620205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 620205664 is about 24903.9286860527. The cubic root of 620205664 is about 852.7961728958.

The spelling of 620205664 in words is "six hundred twenty million, two hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 169 208 292 338 416 584 676 949 1168 1352 1571 1898 2336 2704 3142 3796 5408 6284 7592 12337 12568 15184 20423 24674 25136 30368 40846 49348 50272 81692 98696 114683 163384 197392 229366 265499 326768 394784 458732 530998 653536 917464 1061996 1490879 1834928 2123992 2981758 3669856 4247984 5963516 8495968 11927032 19381427 23854064 38762854 47708128 77525708 155051416 310102832 620205664