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7270016 = 271317257
BaseRepresentation
bin11011101110111010000000
3111200100120212
4123232322000
53330120031
6415453252
7115536245
oct33567200
914610525
107270016
114116086
122527228
1316770b0
14d735cc
1598912b
hex6eee80

7270016 has 64 divisors (see below), whose sum is σ = 16579080. Its totient is φ = 3145728.

The previous prime is 7270009. The next prime is 7270031. The reversal of 7270016 is 6100727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7182400 + 87616 = 2680^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7269973 and 7270000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28160 + ... + 28416.

Almost surely, 27270016 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 7270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289540).

7270016 is an abundant number, since it is smaller than the sum of its proper divisors (9309064).

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

7270016 is a wasteful number, since it uses less digits than its factorization.

7270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 7270016 is about 2696.2967195767. The cubic root of 7270016 is about 193.7217820855.

The spelling of 7270016 in words is "seven million, two hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 257 272 416 442 514 544 832 884 1028 1088 1664 1768 2056 2176 3341 3536 4112 4369 6682 7072 8224 8738 13364 14144 16448 17476 26728 28288 32896 34952 53456 56797 69904 106912 113594 139808 213824 227188 279616 427648 454376 559232 908752 1817504 3635008 7270016