Search a number
-
+
16200096 = 2531123229
BaseRepresentation
bin111101110011…
…000110100000
31010111001100120
4331303012200
513121400341
61335120240
7254461413
oct75630640
933431316
1016200096
119165410
125513080
133482973
142219b7a
151650066
hexf731a0

16200096 has 144 divisors (see below), whose sum is σ = 50168160. Its totient is φ = 4533760.

The previous prime is 16200091. The next prime is 16200127. The reversal of 16200096 is 69000261.

16200096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×162000962 = 524886220818432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16200091) 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, 558610 + ... + 558638.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 216200096 is an apocalyptic number.

16200096 is a gapful number since it is divisible by the number (16) 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 16200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084080).

16200096 is an abundant number, since it is smaller than the sum of its proper divisors (33968064).

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

16200096 is a wasteful number, since it uses less digits than its factorization.

16200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 16200096 is about 4024.9342851778. The cubic root of 16200096 is about 253.0302994015.

The spelling of 16200096 in words is "sixteen million, two hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 29 32 33 44 46 48 58 66 69 87 88 92 96 116 132 138 174 176 184 232 253 264 276 319 348 352 368 464 506 528 529 552 638 667 696 736 759 928 957 1012 1056 1058 1104 1276 1334 1392 1518 1587 1914 2001 2024 2116 2208 2552 2668 2784 3036 3174 3828 4002 4048 4232 5104 5336 5819 6072 6348 7337 7656 8004 8096 8464 10208 10672 11638 12144 12696 14674 15312 15341 16008 16928 17457 21344 22011 23276 24288 25392 29348 30624 30682 32016 34914 44022 46023 46552 50784 58696 61364 64032 69828 88044 92046 93104 117392 122728 139656 168751 176088 184092 186208 234784 245456 279312 337502 352176 368184 490912 506253 558624 675004 704352 736368 1012506 1350008 1472736 2025012 2700016 4050024 5400032 8100048 16200096