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5666430 = 2357112223
BaseRepresentation
bin10101100111011001111110
3101122212212210
4111213121332
52422311210
6321241250
766110130
oct25473176
911585783
105666430
113220300
121a93226
131235223
14a77050
1576de20
hex56767e

5666430 has 96 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1172160.

The previous prime is 5666417. The next prime is 5666431. The reversal of 5666430 is 346665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5666431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25299 + ... + 25521.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

Almost surely, 25666430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5666430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

5666430 is an abundant number, since it is smaller than the sum of its proper divisors (11493762).

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

5666430 is a wasteful number, since it uses less digits than its factorization.

5666430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5666430 is about 2380.4264323856. The cubic root of 5666430 is about 178.2802260318.

5666430 divided by its sum of digits (30) gives a palindrome (188881).

It can be divided in two parts, 566 and 6430, that added together give a palindrome (6996).

The spelling of 5666430 in words is "five million, six hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 223 231 242 330 363 385 446 462 605 669 726 770 847 1115 1155 1210 1338 1561 1694 1815 2230 2310 2453 2541 3122 3345 3630 4235 4683 4906 5082 6690 7359 7805 8470 9366 12265 12705 14718 15610 17171 23415 24530 25410 26983 34342 36795 46830 51513 53966 73590 80949 85855 103026 134915 161898 171710 188881 257565 269830 377762 404745 515130 566643 809490 944405 1133286 1888810 2833215 5666430