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78470560 = 2557210009
BaseRepresentation
bin1001010110101…
…01110110100000
312110122201101001
410223111312200
5130042024220
611441521344
71641663100
oct453256640
9173581331
1078470560
1140327103
1222343254
13133461ac
14a5c9200
156d5080a
hex4ad5da0

78470560 has 72 divisors (see below), whose sum is σ = 215675460. Its totient is φ = 26901504.

The previous prime is 78470537. The next prime is 78470591. The reversal of 78470560 is 6507487.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71978256 + 6492304 = 8484^2 + 2548^2 .

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 11 ways as a sum of consecutive naturals, for example, 2836 + ... + 12844.

Almost surely, 278470560 is an apocalyptic number.

78470560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78470560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107837730).

78470560 is an abundant number, since it is smaller than the sum of its proper divisors (137204900).

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

78470560 is a wasteful number, since it uses less digits than its factorization.

78470560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 78470560 is about 8858.3610222208. The cubic root of 78470560 is about 428.1233522234.

The spelling of 78470560 in words is "seventy-eight million, four hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 10009 20018 40036 50045 70063 80072 100090 140126 160144 200180 280252 320288 350315 400360 490441 560504 700630 800720 980882 1121008 1401260 1601440 1961764 2242016 2452205 2802520 3923528 4904410 5605040 7847056 9808820 11210080 15694112 19617640 39235280 78470560