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669904560 = 243351323857
BaseRepresentation
bin100111111011011…
…110111010110000
31201200112200022000
4213323132322300
52332443421220
6150250214000
722413044343
oct4773367260
91650480260
10669904560
11314164236
12168424300
13a8a32b40
1464d8245a
153dc2a390
hex27edeeb0

669904560 has 160 divisors (see below), whose sum is σ = 2485049280. Its totient is φ = 164892672.

The previous prime is 669904541. The next prime is 669904561. The reversal of 669904560 is 65409966.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (669904561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16152 + ... + 40008.

It is an arithmetic number, because the mean of its divisors is an integer number (15531558).

Almost surely, 2669904560 is an apocalyptic number.

669904560 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 669904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242524640).

669904560 is an abundant number, since it is smaller than the sum of its proper divisors (1815144720).

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

669904560 is a wasteful number, since it uses less digits than its factorization.

669904560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23892 (or 23880 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 669904560 is about 25882.5145609927. The cubic root of 669904560 is about 874.9924614317.

The spelling of 669904560 in words is "six hundred sixty-nine million, nine hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 23857 28080 47714 71571 95428 119285 143142 190856 214713 238570 286284 310141 357855 381712 429426 477140 572568 620282 644139 715710 858852 930423 954280 1073565 1145136 1240564 1288278 1431420 1550705 1717704 1860846 1908560 2147130 2481128 2576556 2791269 2862840 3101410 3220695 3435408 3721692 4294260 4652115 4962256 5153112 5582538 5725680 6202820 6441390 7443384 8373807 8588520 9304230 10306224 11165076 12405640 12882780 13956345 14886768 16747614 17177040 18608460 22330152 24811280 25765560 27912690 33495228 37216920 41869035 44660304 51531120 55825380 66990456 74433840 83738070 111650760 133980912 167476140 223301520 334952280 669904560