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16138800 = 2432524483
BaseRepresentation
bin111101100100…
…001000110000
31010100221021100
4331210020300
513112420200
61333524400
7254114616
oct75441060
933327240
1016138800
119123357
1254a3700
133460ab2
1422016b6
15163bd00
hexf64230

16138800 has 90 divisors (see below), whose sum is σ = 56018612. Its totient is φ = 4302720.

The previous prime is 16138799. The next prime is 16138823. The reversal of 16138800 is 883161.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1359 + ... + 5841.

Almost surely, 216138800 is an apocalyptic number.

16138800 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 16138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009306).

16138800 is an abundant number, since it is smaller than the sum of its proper divisors (39879812).

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

16138800 is a wasteful number, since it uses less digits than its factorization.

16138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 16138800 is about 4017.3125345186. The cubic root of 16138800 is about 252.7107673904.

The spelling of 16138800 in words is "sixteen million, one hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 4483 8966 13449 17932 22415 26898 35864 40347 44830 53796 67245 71728 80694 89660 107592 112075 134490 161388 179320 201735 215184 224150 268980 322776 336225 358640 403470 448300 537960 645552 672450 806940 896600 1008675 1075920 1344900 1613880 1793200 2017350 2689800 3227760 4034700 5379600 8069400 16138800