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78055080 = 23352412699
BaseRepresentation
bin1001010011100…
…00011010101000
312102212121102220
410221300122220
5124440230310
611424554040
71635312555
oct451603250
9172777386
1078055080
1140072a34
1222182920
131322c04c
14a51ba2c
156cbc670
hex4a706a8

78055080 has 64 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 20720640.

The previous prime is 78055073. The next prime is 78055093. The reversal of 78055080 is 8055087.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27571 + ... + 30269.

It is an arithmetic number, because the mean of its divisors is an integer number (3675375).

Almost surely, 278055080 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 78055080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

78055080 is an abundant number, since it is smaller than the sum of its proper divisors (157168920).

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

78055080 is a wasteful number, since it uses less digits than its factorization.

78055080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 78055080 is about 8834.8786069759. The cubic root of 78055080 is about 427.3664163181.

The spelling of 78055080 in words is "seventy-eight million, fifty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 2410 2699 2892 3615 4820 5398 5784 7230 8097 9640 10796 13495 14460 16194 21592 26990 28920 32388 40485 53980 64776 80970 107960 161940 323880 650459 1300918 1951377 2601836 3252295 3902754 5203672 6504590 7805508 9756885 13009180 15611016 19513770 26018360 39027540 78055080