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7080416 = 25773433
BaseRepresentation
bin11011000000100111100000
3111022201111122
4123000213200
53303033131
6411431412
7114116420
oct33004740
914281448
107080416
113aa6692
122455568
13160b9c5
14d24480
1594cd7b
hex6c09e0

7080416 has 48 divisors (see below), whose sum is σ = 16186464. Its totient is φ = 2985984.

The previous prime is 7080401. The next prime is 7080433. The reversal of 7080416 is 6140807.

It is a plaindrome in base 12.

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, 16136 + ... + 16568.

It is an arithmetic number, because the mean of its divisors is an integer number (337218).

Almost surely, 27080416 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 7080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093232).

7080416 is an abundant number, since it is smaller than the sum of its proper divisors (9106048).

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

7080416 is a wasteful number, since it uses less digits than its factorization.

7080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 7080416 is about 2660.9051091687. The cubic root of 7080416 is about 192.0228560754.

The spelling of 7080416 in words is "seven million, eighty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 433 511 584 866 1022 1168 1732 2044 2336 3031 3464 4088 6062 6928 8176 12124 13856 16352 24248 31609 48496 63218 96992 126436 221263 252872 442526 505744 885052 1011488 1770104 3540208 7080416