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10385466 = 2371323827
BaseRepresentation
bin100111100111…
…100000111010
3201112122011220
4213213200322
510124313331
61010332510
7154163220
oct47474072
921478156
1010385466
115953833
12358a136
1321c8160
141544b10
15da2296
hex9e783a

10385466 has 64 divisors (see below), whose sum is σ = 26707968. Its totient is φ = 2616768.

The previous prime is 10385461. The next prime is 10385471. The reversal of 10385466 is 66458301.

It is an interprime number because it is at equal distance from previous prime (10385461) and next prime (10385471).

It is not an unprimeable number, because it can be changed into a prime (10385461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12145 + ... + 12971.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 210385466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984).

10385466 is an abundant number, since it is smaller than the sum of its proper divisors (16322502).

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

10385466 is a wasteful number, since it uses less digits than its factorization.

10385466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 10385466 is about 3222.6489104462. The cubic root of 10385466 is about 218.1768477719.

The spelling of 10385466 in words is "ten million, three hundred eighty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 827 897 966 1654 1794 2093 2481 4186 4962 5789 6279 10751 11578 12558 17367 19021 21502 32253 34734 38042 57063 64506 75257 114126 133147 150514 225771 247273 266294 399441 451542 494546 741819 798882 1483638 1730911 3461822 5192733 10385466