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663764320 = 25517793089
BaseRepresentation
bin100111100100000…
…011110101100000
31201020222201110201
4213210003311200
52324410424240
6145510434544
722306621642
oct4744036540
91636881421
10663764320
1131074aa5a
12166362a54
13a769306b
1464224892
153d415d9a
hex27903d60

663764320 has 96 divisors (see below), whose sum is σ = 1681948800. Its totient is φ = 246644736.

The previous prime is 663764287. The next prime is 663764341. The reversal of 663764320 is 23467366.

It is a self number, because there is not a number n which added to its sum of digits gives 663764320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 213336 + ... + 216424.

It is an arithmetic number, because the mean of its divisors is an integer number (17520300).

Almost surely, 2663764320 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 663764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840974400).

663764320 is an abundant number, since it is smaller than the sum of its proper divisors (1018184480).

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

663764320 is a wasteful number, since it uses less digits than its factorization.

663764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 37.

The square root of 663764320 is about 25763.6239686889. The cubic root of 663764320 is about 872.3109039223.

The spelling of 663764320 in words is "six hundred sixty-three million, seven hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 79 80 85 136 158 160 170 272 316 340 395 544 632 680 790 1264 1343 1360 1580 2528 2686 2720 3089 3160 5372 6178 6320 6715 10744 12356 12640 13430 15445 21488 24712 26860 30890 42976 49424 52513 53720 61780 98848 105026 107440 123560 210052 214880 244031 247120 262565 420104 488062 494240 525130 840208 976124 1050260 1220155 1680416 1952248 2100520 2440310 3904496 4148527 4201040 4880620 7808992 8297054 8402080 9761240 16594108 19522480 20742635 33188216 39044960 41485270 66376432 82970540 132752864 165941080 331882160 663764320