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663617620 = 2252331173269
BaseRepresentation
bin100111100011100…
…000000001010100
31201020201021020101
4213203200001110
52324341230440
6145503343444
722305441151
oct4743400124
91636637211
10663617620
1131065a816
121662b1b84
13a7641363
14641c7228
153d3d769a
hex278e0054

663617620 has 96 divisors (see below), whose sum is σ = 1515386880. Its totient is φ = 243386880.

The previous prime is 663617599. The next prime is 663617623. The reversal of 663617620 is 26716366.

It is a self number, because there is not a number n which added to its sum of digits gives 663617620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663617623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466846 + ... + 2467114.

It is an arithmetic number, because the mean of its divisors is an integer number (15785280).

Almost surely, 2663617620 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 663617620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757693440).

663617620 is an abundant number, since it is smaller than the sum of its proper divisors (851769260).

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

663617620 is a wasteful number, since it uses less digits than its factorization.

663617620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 663617620 is about 25760.7767740028. The cubic root of 663617620 is about 872.2466354089.

The spelling of 663617620 in words is "six hundred sixty-three million, six hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 173 230 269 310 346 460 538 620 692 713 865 1076 1345 1426 1730 2690 2852 3460 3565 3979 5363 5380 6187 7130 7958 8339 10726 12374 14260 15916 16678 19895 21452 24748 26815 30935 33356 39790 41695 46537 53630 61870 79580 83390 93074 107260 123349 123740 166780 186148 191797 232685 246698 383594 465370 493396 616745 767188 930740 958985 1070351 1233490 1442647 1917970 2140702 2466980 2885294 3835940 4281404 5351755 5770588 7213235 10703510 14426470 21407020 28852940 33180881 66361762 132723524 165904405 331808810 663617620