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7245216 = 2532112287
BaseRepresentation
bin11011101000110110100000
3111122002120100
4123220312200
53323321331
6415142400
7115404036
oct33506640
914562510
107245216
1140a9490
122514a00
131668a14
14d68556
15981ae6
hex6e8da0

7245216 has 72 divisors (see below), whose sum is σ = 22486464. Its totient is φ = 2194560.

The previous prime is 7245209. The next prime is 7245239. The reversal of 7245216 is 6125427.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7245216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 4311.

It is an arithmetic number, because the mean of its divisors is an integer number (312312).

Almost surely, 27245216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243232).

7245216 is an abundant number, since it is smaller than the sum of its proper divisors (15241248).

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

7245216 is a wasteful number, since it uses less digits than its factorization.

7245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2303 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 7245216 is about 2691.6938904712. The cubic root of 7245216 is about 193.5012519199.

The spelling of 7245216 in words is "seven million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2287 3168 4574 6861 9148 13722 18296 20583 25157 27444 36592 41166 50314 54888 73184 75471 82332 100628 109776 150942 164664 201256 219552 226413 301884 329328 402512 452826 603768 658656 805024 905652 1207536 1811304 2415072 3622608 7245216