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516096 = 213327
BaseRepresentation
bin1111110000000000000
3222012221200
41332000000
5113003341
615021200
74246440
oct1760000
9865850
10516096
11322829
1220a800
13150ba9
14d6120
15a2db6
hex7e000

516096 has 84 divisors (see below), whose sum is σ = 1703832. Its totient is φ = 147456.

The previous prime is 516091. The next prime is 516127. The reversal of 516096 is 690615.

It can be divided in two parts, 51609 and 6, that added together give a palindrome (51615).

516096 is a `hidden beast` number, since 51 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516096.

It is not an unprimeable number, because it can be changed into a prime (516091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73725 + ... + 73731.

2516096 is an apocalyptic number.

516096 is a gapful number since it is divisible by the number (56) 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 516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851916).

516096 is an abundant number, since it is smaller than the sum of its proper divisors (1187736).

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

516096 is an equidigital number, since it uses as much as digits as its factorization.

516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 516096 is about 718.3982182606. The cubic root of 516096 is about 80.2127669594.

The spelling of 516096 in words is "five hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 8192 9216 10752 12288 14336 16128 18432 21504 24576 28672 32256 36864 43008 57344 64512 73728 86016 129024 172032 258048 516096