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78056460 = 2235516061
BaseRepresentation
bin1001010011100…
…00110000001100
312102212200100000
410221300300030
5124440301320
611425004300
71635316566
oct451606014
9172780300
1078056460
1140073a79
1222183690
131322c871
14a51c336
156cbcc90
hex4a70c0c

78056460 has 72 divisors (see below), whose sum is σ = 245555856. Its totient is φ = 20813760.

The previous prime is 78056453. The next prime is 78056483. The reversal of 78056460 is 6465087.

It is a happy number.

78056460 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171 + ... + 12890.

It is an arithmetic number, because the mean of its divisors is an integer number (3410498).

Almost surely, 278056460 is an apocalyptic number.

It is an amenable number.

78056460 is an abundant number, since it is smaller than the sum of its proper divisors (167499396).

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

78056460 is a wasteful number, since it uses less digits than its factorization.

78056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16085 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78056460 is about 8834.9567061758. The cubic root of 78056460 is about 427.3689348908.

The spelling of 78056460 in words is "seventy-eight million, fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 16061 32122 48183 64244 80305 96366 144549 160610 192732 240915 289098 321220 433647 481830 578196 722745 867294 963660 1300941 1445490 1734588 2168235 2601882 2890980 3902823 4336470 5203764 6504705 7805646 8672940 13009410 15611292 19514115 26018820 39028230 78056460