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14199984 = 2432313181
BaseRepresentation
bin110110001010…
…110010110000
3222201102201100
4312022302300
512113344414
61224204400
7231461241
oct66126260
928642640
1014199984
118019727
124909700
132c32476
141c58cc8
1513a7609
hexd8acb0

14199984 has 60 divisors (see below), whose sum is σ = 41035072. Its totient is φ = 4579200.

The previous prime is 14199967. The next prime is 14199989. The reversal of 14199984 is 48999141.

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

It is not an unprimeable number, because it can be changed into a prime (14199989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 6054.

Almost surely, 214199984 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 14199984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20517536).

14199984 is an abundant number, since it is smaller than the sum of its proper divisors (26835088).

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

14199984 is a wasteful number, since it uses less digits than its factorization.

14199984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3217 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 14199984 is about 3768.2866133032. The cubic root of 14199984 is about 242.1564000496.

The spelling of 14199984 in words is "fourteen million, one hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 3181 4464 6362 9543 12724 19086 25448 28629 38172 50896 57258 76344 98611 114516 152688 197222 229032 295833 394444 458064 591666 788888 887499 1183332 1577776 1774998 2366664 3549996 4733328 7099992 14199984