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666468 = 223411217
BaseRepresentation
bin10100010101101100100
31020212020000
42202231210
5132311333
622141300
75444025
oct2425544
91225200
10666468
11415800
12281830
131a447a
14134c4c
15d2713
hexa2b64

666468 has 90 divisors (see below), whose sum is σ = 2027718. Its totient is φ = 190080.

The previous prime is 666467. The next prime is 666493. The reversal of 666468 is 864666.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 39204 = 792^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 666468.

It is not an unprimeable number, because it can be changed into a prime (666461) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39196 + ... + 39212.

2666468 is an apocalyptic number.

666468 is a gapful number since it is divisible by the number (68) 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 666468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013859).

666468 is an abundant number, since it is smaller than the sum of its proper divisors (1361250).

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

666468 is a wasteful number, since it uses less digits than its factorization.

666468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 666468 is about 816.3749138723. The cubic root of 666468 is about 87.3493680456.

The spelling of 666468 in words is "six hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 121 132 153 162 187 198 204 242 297 306 324 363 374 396 459 484 561 594 612 726 748 891 918 1089 1122 1188 1377 1452 1683 1782 1836 2057 2178 2244 2754 3267 3366 3564 4114 4356 5049 5508 6171 6534 6732 8228 9801 10098 12342 13068 15147 18513 19602 20196 24684 30294 37026 39204 55539 60588 74052 111078 166617 222156 333234 666468