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86534080 = 2651715907
BaseRepresentation
bin1010010100001…
…10011111000000
320000211101102221
411022012133000
5134123042310
612330420424
72100345643
oct512063700
9200741387
1086534080
1144934376
1224b91714
1314c0a4c9
14b6c7a5a
1578e4ada
hex52867c0

86534080 has 56 divisors (see below), whose sum is σ = 218194128. Its totient is φ = 32575488.

The previous prime is 86534047. The next prime is 86534087. The reversal of 86534080 is 8043568.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86534087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2514 + ... + 13393.

Almost surely, 286534080 is an apocalyptic number.

86534080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86534080 is an abundant number, since it is smaller than the sum of its proper divisors (131660048).

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

86534080 is a wasteful number, since it uses less digits than its factorization.

86534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 86534080 is about 9302.3695905936. The cubic root of 86534080 is about 442.3123444889.

The spelling of 86534080 in words is "eighty-six million, five hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 15907 31814 63628 79535 127256 159070 254512 270419 318140 509024 540838 636280 1018048 1081676 1272560 1352095 2163352 2545120 2704190 4326704 5090240 5408380 8653408 10816760 17306816 21633520 43267040 86534080