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86433780 = 223517101839
BaseRepresentation
bin1010010011011…
…01111111110100
320000122021212010
411021231333310
5134111340110
612324324220
72066450346
oct511557764
9200567763
1086433780
1144875a84
1224b43670
1314ba3964
14b69d296
1578c5020
hex526dff4

86433780 has 96 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 21452800.

The previous prime is 86433773. The next prime is 86433791. The reversal of 86433780 is 8733468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102601 + ... + 103439.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 286433780 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 86433780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

86433780 is an abundant number, since it is smaller than the sum of its proper divisors (172662540).

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

86433780 is a wasteful number, since it uses less digits than its factorization.

86433780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 86433780 is about 9296.9769280127. The cubic root of 86433780 is about 442.1413864892.

The spelling of 86433780 in words is "eighty-six million, four hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 839 1010 1020 1212 1515 1678 1717 2020 2517 3030 3356 3434 4195 5034 5151 6060 6868 8390 8585 10068 10302 12585 14263 16780 17170 20604 25170 25755 28526 34340 42789 50340 51510 57052 71315 84739 85578 103020 142630 169478 171156 213945 254217 285260 338956 423695 427890 508434 847390 855780 1016868 1271085 1440563 1694780 2542170 2881126 4321689 5084340 5762252 7202815 8643378 14405630 17286756 21608445 28811260 43216890 86433780