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86977780 = 22517349733
BaseRepresentation
bin1010010111100…
…10110011110100
320001122221002021
411023302303310
5134231242110
612344122524
72104204351
oct513626364
9201587067
1086977780
114510776a
1225166444
1315034456
14b7a1628
1579812da
hex52f2cf4

86977780 has 48 divisors (see below), whose sum is σ = 194216400. Its totient is φ = 32606208.

The previous prime is 86977733. The next prime is 86977783. The reversal of 86977780 is 8777968.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21270544 + 65707236 = 4612^2 + 8106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86977783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118294 + ... + 119026.

It is an arithmetic number, because the mean of its divisors is an integer number (4046175).

Almost surely, 286977780 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 86977780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97108200).

86977780 is an abundant number, since it is smaller than the sum of its proper divisors (107238620).

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

86977780 is a wasteful number, since it uses less digits than its factorization.

86977780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The square root of 86977780 is about 9326.1878599994. The cubic root of 86977780 is about 443.0670356324.

The spelling of 86977780 in words is "eighty-six million, nine hundred seventy-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 349 698 733 1396 1466 1745 2932 3490 3665 5933 6980 7330 11866 12461 14660 23732 24922 29665 49844 59330 62305 118660 124610 249220 255817 511634 1023268 1279085 2558170 4348889 5116340 8697778 17395556 21744445 43488890 86977780