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78054030 = 23754383
BaseRepresentation
bin1001010011100…
…00001010001110
312102212120000000
410221300022032
5124440212110
611424545130
71635306525
oct451601216
9172776000
1078054030
114007216a
12221821a6
131322b722
14a51b4bc
156cbc1c0
hex4a7028e

78054030 has 128 divisors (see below), whose sum is σ = 218211840. Its totient is φ = 20085408.

The previous prime is 78054029. The next prime is 78054047. The reversal of 78054030 is 3045087.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 78053985 and 78054003.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 940369 + ... + 940451.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 278054030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78054030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109105920).

78054030 is an abundant number, since it is smaller than the sum of its proper divisors (140157810).

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

78054030 is an equidigital number, since it uses as much as digits as its factorization.

78054030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78054030 is about 8834.8191832091. The cubic root of 78054030 is about 427.3644999929.

The spelling of 78054030 in words is "seventy-eight million, fifty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 83 86 90 129 135 162 166 215 243 249 258 270 387 405 415 430 486 498 645 729 747 774 810 830 1161 1215 1245 1290 1458 1494 1935 2187 2241 2322 2430 2490 3483 3569 3645 3735 3870 4374 4482 5805 6723 6966 7138 7290 7470 10449 10707 10935 11205 11610 13446 17415 17845 20169 20898 21414 21870 22410 31347 32121 33615 34830 35690 40338 52245 53535 60507 62694 64242 67230 94041 96363 100845 104490 107070 121014 156735 160605 181521 188082 192726 201690 289089 302535 313470 321210 363042 470205 481815 578178 605070 867267 907605 940410 963630 1445445 1734534 1815210 2601801 2890890 4336335 5203602 7805403 8672670 13009005 15610806 26018010 39027015 78054030