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7013248 = 271117293
BaseRepresentation
bin11010110000001110000000
3111012022100221
4122300032000
53243410443
6410152424
7113416534
oct32601600
914168327
107013248
113a60180
122422714
1315b7268
14d07bc4
15937eed
hex6b0380

7013248 has 64 divisors (see below), whose sum is σ = 16193520. Its totient is φ = 2990080.

The previous prime is 7013243. The next prime is 7013263. The reversal of 7013248 is 8423107.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7013243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23790 + ... + 24082.

Almost surely, 27013248 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 7013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096760).

7013248 is an abundant number, since it is smaller than the sum of its proper divisors (9180272).

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

7013248 is a wasteful number, since it uses less digits than its factorization.

7013248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7013248 is about 2648.2537642756. The cubic root of 7013248 is about 191.4137208563.

Subtracting from 7013248 its product of nonzero digits (1344), we obtain a square (7011904 = 26482).

The spelling of 7013248 in words is "seven million, thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 293 352 374 544 586 704 748 1088 1172 1408 1496 2176 2344 2992 3223 4688 4981 5984 6446 9376 9962 11968 12892 18752 19924 23936 25784 37504 39848 51568 54791 79696 103136 109582 159392 206272 219164 318784 412544 438328 637568 876656 1753312 3506624 7013248