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7916080 = 245531867
BaseRepresentation
bin11110001100101000110000
3112220011211011
4132030220300
54011303310
6441400304
7124166644
oct36145060
915804734
107916080
114517517
122799094
131842193
1410a0c24
15a6578a
hex78ca30

7916080 has 40 divisors (see below), whose sum is σ = 18762192. Its totient is φ = 3105024.

The previous prime is 7916059. The next prime is 7916081. The reversal of 7916080 is 806197.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7916081) 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, 3307 + ... + 5173.

Almost surely, 27916080 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 7916080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381096).

7916080 is an abundant number, since it is smaller than the sum of its proper divisors (10846112).

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

7916080 is a wasteful number, since it uses less digits than its factorization.

7916080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 7916080 is about 2813.5529140217. The cubic root of 7916080 is about 199.2982069798.

The spelling of 7916080 in words is "seven million, nine hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1867 2120 3734 4240 7468 9335 14936 18670 29872 37340 74680 98951 149360 197902 395804 494755 791608 989510 1583216 1979020 3958040 7916080