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7116320 = 25579563
BaseRepresentation
bin11011001001011000100000
3111101112202102
4123021120200
53310210240
6412305532
7114326201
oct33113040
914345672
107116320
114020662
1224722a8
131622153
14d335a8
15958815
hex6c9620

7116320 has 48 divisors (see below), whose sum is σ = 17055360. Its totient is φ = 2805504.

The previous prime is 7116311. The next prime is 7116323. The reversal of 7116320 is 236117.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7116292 and 7116301.

It is not an unprimeable number, because it can be changed into a prime (7116323) 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, 12359 + ... + 12921.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 27116320 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 7116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527680).

7116320 is an abundant number, since it is smaller than the sum of its proper divisors (9939040).

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

7116320 is a wasteful number, since it uses less digits than its factorization.

7116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 7116320 is about 2667.6431545467. The cubic root of 7116320 is about 192.3468844839.

The spelling of 7116320 in words is "seven million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 563 632 790 1126 1264 1580 2252 2528 2815 3160 4504 5630 6320 9008 11260 12640 18016 22520 44477 45040 88954 90080 177908 222385 355816 444770 711632 889540 1423264 1779080 3558160 7116320