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666105352 = 231141353523
BaseRepresentation
bin100111101100111…
…111011000001000
31201102101122202121
4213230333120020
52331010332402
6150032541024
722335542053
oct4754773010
91642348677
10666105352
11311aa98a0
121670b1774
13a80027a3
1464673a9a
153d729837
hex27b3f608

666105352 has 64 divisors (see below), whose sum is σ = 1402349760. Its totient is φ = 293990400.

The previous prime is 666105347. The next prime is 666105359. The reversal of 666105352 is 253501666.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (666105359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273363 + ... + 1273885.

It is an arithmetic number, because the mean of its divisors is an integer number (21911715).

Almost surely, 2666105352 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 666105352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701174880).

666105352 is an abundant number, since it is smaller than the sum of its proper divisors (736244408).

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

666105352 is a wasteful number, since it uses less digits than its factorization.

666105352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 666105352 is about 25809.0168739532. The cubic root of 666105352 is about 873.3352191298.

The spelling of 666105352 in words is "six hundred sixty-six million, one hundred five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 353 451 523 706 902 1046 1412 1804 2092 2824 3608 3883 4184 5753 7766 11506 14473 15532 21443 23012 28946 31064 42886 46024 57892 85772 115784 159203 171544 184619 235873 318406 369238 471746 636812 738476 943492 1273624 1476952 1886984 2030809 4061618 7569379 8123236 15138758 16246472 30277516 60555032 83263169 166526338 333052676 666105352