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664560 = 243251371
BaseRepresentation
bin10100010001111110000
31020202121100
42202033300
5132231220
622124400
75435331
oct2421760
91222540
10664560
11414326
12280700
131a3640
14134288
15d1d90
hexa23f0

664560 has 120 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 161280.

The previous prime is 664549. The next prime is 664561. The reversal of 664560 is 65466.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664561) by changing a digit.

664560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9325 + ... + 9395.

2664560 is an apocalyptic number.

664560 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 664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

664560 is an abundant number, since it is smaller than the sum of its proper divisors (1772784).

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

664560 is a wasteful number, since it uses less digits than its factorization.

664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 664560 is about 815.2054955654. The cubic root of 664560 is about 87.2659322361.

The spelling of 664560 in words is "six hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 71 72 78 80 90 104 117 120 130 142 144 156 180 195 208 213 234 240 260 284 312 355 360 390 426 468 520 568 585 624 639 710 720 780 852 923 936 1040 1065 1136 1170 1278 1420 1560 1704 1846 1872 2130 2340 2556 2769 2840 3120 3195 3408 3692 4260 4615 4680 5112 5538 5680 6390 7384 8307 8520 9230 9360 10224 11076 12780 13845 14768 16614 17040 18460 22152 25560 27690 33228 36920 41535 44304 51120 55380 66456 73840 83070 110760 132912 166140 221520 332280 664560