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86031520 = 2551094933
BaseRepresentation
bin1010010000010…
…11110010100000
312222212212001121
411020023302200
5134011002040
612311542024
72063153521
oct510136240
9188785047
1086031520
1144620833
122498a914
1314a92833
14b5d6848
157845c4a
hex520bca0

86031520 has 48 divisors (see below), whose sum is σ = 205155720. Its totient is φ = 34089984.

The previous prime is 86031511. The next prime is 86031529. The reversal of 86031520 is 2513068.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86031511) and next prime (86031529).

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 16875664 = 8316^2 + 4108^2 .

It is not an unprimeable number, because it can be changed into a prime (86031529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14974 + ... + 19906.

Almost surely, 286031520 is an apocalyptic number.

86031520 is a gapful number since it is divisible by the number (80) 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 86031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102577860).

86031520 is an abundant number, since it is smaller than the sum of its proper divisors (119124200).

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

86031520 is a wasteful number, since it uses less digits than its factorization.

86031520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 86031520 is about 9275.3177843134. The cubic root of 86031520 is about 441.4544157955.

Adding to 86031520 its reverse (2513068), we get a palindrome (88544588).

The spelling of 86031520 in words is "eighty-six million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 4933 8720 9866 17440 19732 24665 39464 49330 78928 98660 157856 197320 394640 537697 789280 1075394 2150788 2688485 4301576 5376970 8603152 10753940 17206304 21507880 43015760 86031520