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14166390 = 2357223419
BaseRepresentation
bin110110000010…
…100101110110
3222122201122010
4312002211312
512111311030
61223345050
7231261300
oct66024566
928581563
1014166390
117aa6467
1248b2186
132c200a4
141c4a970
15139c6b0
hexd82976

14166390 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3089856.

The previous prime is 14166379. The next prime is 14166391. The reversal of 14166390 is 9366141.

14166390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14166391) 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, 33601 + ... + 34019.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 214166390 is an apocalyptic number.

14166390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14166390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14166390 is an abundant number, since it is smaller than the sum of its proper divisors (27201930).

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

14166390 is a wasteful number, since it uses less digits than its factorization.

14166390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 14166390 is about 3763.8265103482. The cubic root of 14166390 is about 241.9652865537.

The spelling of 14166390 in words is "fourteen million, one hundred sixty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 419 483 490 690 735 805 838 966 1127 1257 1470 1610 2095 2254 2415 2514 2933 3381 4190 4830 5635 5866 6285 6762 8799 9637 11270 12570 14665 16905 17598 19274 20531 28911 29330 33810 41062 43995 48185 57822 61593 67459 87990 96370 102655 123186 134918 144555 202377 205310 289110 307965 337295 404754 472213 615930 674590 944426 1011885 1416639 2023770 2361065 2833278 4722130 7083195 14166390