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16141384 = 237241177
BaseRepresentation
bin111101100100…
…110001001000
31010101001211001
4331210301020
513113011014
61333544344
7254125300
oct75446110
933331731
1016141384
119125296
1254a50b4
13346201c
142202600
15163c974
hexf64c48

16141384 has 24 divisors (see below), whose sum is σ = 35207190. Its totient is φ = 6917568.

The previous prime is 16141369. The next prime is 16141403. The reversal of 16141384 is 48314161.

It can be written as a sum of positive squares in only one way, i.e., 15038884 + 1102500 = 3878^2 + 1050^2 .

It is a super-3 number, since 3×161413843 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20197 + ... + 20980.

Almost surely, 216141384 is an apocalyptic number.

16141384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16141384 is an abundant number, since it is smaller than the sum of its proper divisors (19065806).

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

16141384 is a wasteful number, since it uses less digits than its factorization.

16141384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41197 (or 41186 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 16141384 is about 4017.6341296838. The cubic root of 16141384 is about 252.7242539316.

The spelling of 16141384 in words is "sixteen million, one hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 41177 82354 164708 288239 329416 576478 1152956 2017673 2305912 4035346 8070692 16141384