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7013424 = 2431137359
BaseRepresentation
bin11010110000010000110000
3111012022121110
4122300100300
53243412144
6410153320
7113420205
oct32602060
914168543
107013424
113a60320
122422840
1315b7372
14d07cac
159380b9
hex6b0430

7013424 has 80 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 2062080.

The previous prime is 7013423. The next prime is 7013431. The reversal of 7013424 is 4243107.

It is a self number, because there is not a number n which added to its sum of digits gives 7013424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7013423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19357 + ... + 19715.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 27013424 is an apocalyptic number.

7013424 is a gapful number since it is divisible by the number (74) 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 7013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

7013424 is an abundant number, since it is smaller than the sum of its proper divisors (13342416).

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

7013424 is a wasteful number, since it uses less digits than its factorization.

7013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 7013424 is about 2648.2869935111. The cubic root of 7013424 is about 191.4153220418.

The spelling of 7013424 in words is "seven million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 359 407 444 528 592 718 814 888 1077 1221 1436 1628 1776 2154 2442 2872 3256 3949 4308 4884 5744 6512 7898 8616 9768 11847 13283 15796 17232 19536 23694 26566 31592 39849 47388 53132 63184 79698 94776 106264 146113 159396 189552 212528 292226 318792 438339 584452 637584 876678 1168904 1753356 2337808 3506712 7013424