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16144380 = 2233574271
BaseRepresentation
bin111101100101…
…011111111100
31010101012221000
4331211133330
513113110010
61334010300
7254140110
oct75453774
933335830
1016144380
11912756a
1254a6990
1334634b5
142203740
15163d7c0
hexf657fc

16144380 has 96 divisors (see below), whose sum is σ = 57415680. Its totient is φ = 3689280.

The previous prime is 16144369. The next prime is 16144399. The reversal of 16144380 is 8344161.

16144380 is a `hidden beast` number, since 1 + 614 + 43 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (598080).

Almost surely, 216144380 is an apocalyptic number.

16144380 is a gapful number since it is divisible by the number (10) 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 16144380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28707840).

16144380 is an abundant number, since it is smaller than the sum of its proper divisors (41271300).

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

16144380 is a wasteful number, since it uses less digits than its factorization.

16144380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16144380 is about 4018.0069686351. The cubic root of 16144380 is about 252.7398890020.

The spelling of 16144380 in words is "sixteen million, one hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 4271 8542 12813 17084 21355 25626 29897 38439 42710 51252 59794 64065 76878 85420 89691 115317 119588 128130 149485 153756 179382 192195 230634 256260 269073 298970 358764 384390 448455 461268 538146 576585 597940 768780 807219 896910 1076292 1153170 1345365 1614438 1793820 2306340 2690730 3228876 4036095 5381460 8072190 16144380