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14212128 = 253721149
BaseRepresentation
bin110110001101…
…110000100000
3222202001101010
4312031300200
512114242003
61224340520
7231541530
oct66156040
928661333
1014212128
118027867
124914740
132c37b58
141c5d4c0
1513ab003
hexd8dc20

14212128 has 48 divisors (see below), whose sum is σ = 42638400. Its totient is φ = 4060416.

The previous prime is 14212127. The next prime is 14212129. The reversal of 14212128 is 82121241.

It is an interprime number because it is at equal distance from previous prime (14212127) and next prime (14212129).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 (14212127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9903 + ... + 11246.

It is an arithmetic number, because the mean of its divisors is an integer number (888300).

Almost surely, 214212128 is an apocalyptic number.

It is an amenable number.

14212128 is an abundant number, since it is smaller than the sum of its proper divisors (28426272).

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

14212128 is a wasteful number, since it uses less digits than its factorization.

14212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21161 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 14212128 is about 3769.8976113417. The cubic root of 14212128 is about 242.2254120850.

Adding to 14212128 its reverse (82121241), we get a palindrome (96333369).

The spelling of 14212128 in words is "fourteen million, two hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 21149 42298 63447 84596 126894 148043 169192 253788 296086 338384 444129 507576 592172 676768 888258 1015152 1184344 1776516 2030304 2368688 3553032 4737376 7106064 14212128