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7008080 = 245175153
BaseRepresentation
bin11010101110111101010000
3111012001021112
4122232331100
53243224310
6410112452
7113365502
oct32567520
914161245
107008080
113a57302
12241b728
1315b4ac1
14d05d72
15936705
hex6aef50

7008080 has 40 divisors (see below), whose sum is σ = 17255592. Its totient is φ = 2637824.

The previous prime is 7008047. The next prime is 7008091. The reversal of 7008080 is 808007.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 5180176 = 1352^2 + 2276^2 .

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

It is a super-2 number, since 2×70080802 = 98226370572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217 + ... + 3936.

Almost surely, 27008080 is an apocalyptic number.

It is an amenable number.

7008080 is an abundant number, since it is smaller than the sum of its proper divisors (10247512).

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

7008080 is a wasteful number, since it uses less digits than its factorization.

7008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 7008080 is about 2647.2778471479. The cubic root of 7008080 is about 191.3666922806.

The spelling of 7008080 in words is "seven million, eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5153 10306 20612 25765 41224 51530 82448 87601 103060 175202 206120 350404 412240 438005 700808 876010 1401616 1752020 3504040 7008080