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14166864 = 2432131751
BaseRepresentation
bin110110000010…
…101101010000
3222122202021200
4312002231100
512111314424
61223351200
7231262545
oct66025520
928582250
1014166864
117aa6858
1248b2500
132c2037a
141c4abcc
15139c8c9
hexd82b50

14166864 has 60 divisors (see below), whose sum is σ = 40003392. Its totient is φ = 4680000.

The previous prime is 14166863. The next prime is 14166883. The reversal of 14166864 is 46866141.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14166863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18489 + ... + 19239.

Almost surely, 214166864 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 14166864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001696).

14166864 is an abundant number, since it is smaller than the sum of its proper divisors (25836528).

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

14166864 is a wasteful number, since it uses less digits than its factorization.

14166864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 887 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14166864 is about 3763.8894776547. The cubic root of 14166864 is about 241.9679852009.

The spelling of 14166864 in words is "fourteen million, one hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 751 786 1048 1179 1502 1572 2096 2253 2358 3004 3144 4506 4716 6008 6288 6759 9012 9432 12016 13518 18024 18864 27036 36048 54072 98381 108144 196762 295143 393524 590286 787048 885429 1180572 1574096 1770858 2361144 3541716 4722288 7083432 14166864