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14389032 = 2337412089
BaseRepresentation
bin110110111000…
…111100101000
31000002001001010
4312320330220
512140422112
61232223520
7233206350
oct66707450
930061033
1014389032
118138769
12499aba0
132c9a528
141ca7b60
1513e363c
hexdb8f28

14389032 has 64 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 4008960.

The previous prime is 14389031. The next prime is 14389033. The reversal of 14389032 is 23098341.

It is an interprime number because it is at equal distance from previous prime (14389031) and next prime (14389033).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14389031) 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 15 ways as a sum of consecutive naturals, for example, 5844 + ... + 7932.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 214389032 is an apocalyptic number.

14389032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14389032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

14389032 is an abundant number, since it is smaller than the sum of its proper divisors (27745368).

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

14389032 is a wasteful number, since it uses less digits than its factorization.

14389032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14389032 is about 3793.2877560238. The cubic root of 14389032 is about 243.2262959938.

The spelling of 14389032 in words is "fourteen million, three hundred eighty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2089 2296 3444 4178 6267 6888 8356 12534 14623 16712 25068 29246 43869 50136 58492 85649 87738 116984 171298 175476 256947 342596 350952 513894 599543 685192 1027788 1199086 1798629 2055576 2398172 3597258 4796344 7194516 14389032