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16138144 = 2511192127
BaseRepresentation
bin111101100011…
…111110100000
31010100220101001
4331203332200
513112410034
61333521344
7254112661
oct75437640
933326331
1016138144
119122910
1254a3254
1334606c9
142201368
15163ba14
hexf63fa0

16138144 has 72 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 6894720.

The previous prime is 16138139. The next prime is 16138169. The reversal of 16138144 is 44183161.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127009 + ... + 127135.

It is an arithmetic number, because the mean of its divisors is an integer number (512064).

Almost surely, 216138144 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 16138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

16138144 is an abundant number, since it is smaller than the sum of its proper divisors (20730464).

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

16138144 is a wasteful number, since it uses less digits than its factorization.

16138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

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

The square root of 16138144 is about 4017.2308870664. The cubic root of 16138144 is about 252.7073433334.

The spelling of 16138144 in words is "sixteen million, one hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 127 152 176 209 254 304 352 361 418 508 608 722 836 1016 1397 1444 1672 2032 2413 2794 2888 3344 3971 4064 4826 5588 5776 6688 7942 9652 11176 11552 15884 19304 22352 26543 31768 38608 44704 45847 53086 63536 77216 91694 106172 127072 183388 212344 366776 424688 504317 733552 849376 1008634 1467104 2017268 4034536 8069072 16138144