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16055200 = 255274761
BaseRepresentation
bin111101001111…
…101110100000
31010012200121001
4331033232200
513102231300
61332041344
7253316110
oct75175640
933180531
1016055200
119076567
125463254
133431a25
1421bd040
15162216a
hexf4fba0

16055200 has 144 divisors (see below), whose sum is σ = 46497024. Its totient is φ = 5299200.

The previous prime is 16055189. The next prime is 16055203. The reversal of 16055200 is 255061.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16055203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263170 + ... + 263230.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 216055200 is an apocalyptic number.

16055200 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 16055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248512).

16055200 is an abundant number, since it is smaller than the sum of its proper divisors (30441824).

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

16055200 is a wasteful number, since it uses less digits than its factorization.

16055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 16055200 is about 4006.8940589938. The cubic root of 16055200 is about 252.2736592086.

The spelling of 16055200 in words is "sixteen million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 47 50 56 61 70 80 94 100 112 122 140 160 175 188 200 224 235 244 280 305 329 350 376 400 427 470 488 560 610 658 700 752 800 854 940 976 1120 1175 1220 1316 1400 1504 1525 1645 1708 1880 1952 2135 2350 2440 2632 2800 2867 3050 3290 3416 3760 4270 4700 4880 5264 5600 5734 6100 6580 6832 7520 8225 8540 9400 9760 10528 10675 11468 12200 13160 13664 14335 16450 17080 18800 20069 21350 22936 24400 26320 28670 32900 34160 37600 40138 42700 45872 48800 52640 57340 65800 68320 71675 80276 85400 91744 100345 114680 131600 143350 160552 170800 200690 229360 263200 286700 321104 341600 401380 458720 501725 573400 642208 802760 1003450 1146800 1605520 2006900 2293600 3211040 4013800 8027600 16055200