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666430056 = 2332175310273
BaseRepresentation
bin100111101110001…
…110101001101000
31201110000011011200
4213232032221220
52331101230211
6150043524200
722341363525
oct4756165150
91643004150
10666430056
11312200846
12167229660
13a80b7516
146471a14c
153d790b56
hex27b8ea68

666430056 has 96 divisors (see below), whose sum is σ = 1947333960. Its totient is φ = 205111296.

The previous prime is 666430027. The next prime is 666430091. The reversal of 666430056 is 650034666.

It can be written as a sum of positive squares in 4 ways, for example, as 616727556 + 49702500 = 24834^2 + 7050^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 666430056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59736 + ... + 70008.

Almost surely, 2666430056 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 666430056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973666980).

666430056 is an abundant number, since it is smaller than the sum of its proper divisors (1280903904).

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

666430056 is a wasteful number, since it uses less digits than its factorization.

666430056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10355 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 666430056 is about 25815.3066222348. The cubic root of 666430056 is about 873.4771032790.

The spelling of 666430056 in words is "six hundred sixty-six million, four hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 612 636 901 954 1224 1272 1802 1908 2703 3604 3816 5406 7208 8109 10273 10812 16218 20546 21624 30819 32436 41092 61638 64872 82184 92457 123276 174641 184914 246552 349282 369828 523923 544469 698564 739656 1047846 1088938 1397128 1571769 1633407 2095692 2177876 3143538 3266814 4191384 4355752 4900221 6287076 6533628 9255973 9800442 12574152 13067256 18511946 19600884 27767919 37023892 39201768 55535838 74047784 83303757 111071676 166607514 222143352 333215028 666430056