Search a number
-
+
21600096 = 253732143
BaseRepresentation
bin101001001100…
…1011101100000
31111122101202120
41102121131200
521012200341
62050544240
7351412020
oct122313540
944571676
1021600096
1111213521
127298080
13462382b
142c23a80
151d6a066
hex1499760

21600096 has 48 divisors (see below), whose sum is σ = 64802304. Its totient is φ = 6171264.

The previous prime is 21600091. The next prime is 21600121. The reversal of 21600096 is 69000612.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21600091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15400 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (1350048).

Almost surely, 221600096 is an apocalyptic number.

It is an amenable number.

21600096 is an abundant number, since it is smaller than the sum of its proper divisors (43202208).

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

21600096 is a wasteful number, since it uses less digits than its factorization.

21600096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32163 (or 32155 counting only the distinct ones).

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

The square root of 21600096 is about 4647.5903433930. The cubic root of 21600096 is about 278.4957426018.

The spelling of 21600096 in words is "twenty-one million, six hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 32143 64286 96429 128572 192858 225001 257144 385716 450002 514288 675003 771432 900004 1028576 1350006 1542864 1800008 2700012 3085728 3600016 5400024 7200032 10800048 21600096