Search a number
-
+
78300216 = 23331919079
BaseRepresentation
bin1001010101011…
…00010000111000
312110100001201000
410222230100320
5130021101331
611434125000
71640353341
oct452542070
9173301630
1078300216
1140220125
1222280760
13132b67b7
14a5830c8
156d1a0e6
hex4aac438

78300216 has 64 divisors (see below), whose sum is σ = 228960000. Its totient is φ = 24725088.

The previous prime is 78300193. The next prime is 78300223. The reversal of 78300216 is 61200387.

It is a super-2 number, since 2×783002162 = 12261847651293312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78300216.

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 15 ways as a sum of consecutive naturals, for example, 5436 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (3577500).

Almost surely, 278300216 is an apocalyptic number.

78300216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

78300216 is an abundant number, since it is smaller than the sum of its proper divisors (150659784).

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

78300216 is a wasteful number, since it uses less digits than its factorization.

78300216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19113 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78300216 is about 8848.7409273862. The cubic root of 78300216 is about 427.8133375336.

The spelling of 78300216 in words is "seventy-eight million, three hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 19079 38158 57237 76316 114474 152632 171711 228948 343422 362501 457896 515133 686844 725002 1030266 1087503 1373688 1450004 2060532 2175006 2900008 3262509 4121064 4350012 6525018 8700024 9787527 13050036 19575054 26100072 39150108 78300216