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86732080 = 2452347137
BaseRepresentation
bin1010010101101…
…10110100110000
320001012110001021
411022312310300
5134200411310
612334545224
72102132131
oct512666460
9201173037
1086732080
1144a5a106
1225068214
1314c79676
14b739c88
1579335da
hex52b6d30

86732080 has 40 divisors (see below), whose sum is σ = 210424032. Its totient is φ = 33183744.

The previous prime is 86732071. The next prime is 86732089. The reversal of 86732080 is 8023768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86732071) and next prime (86732089).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×867320802 = 15044907402252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86732089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21729 + ... + 25408.

Almost surely, 286732080 is an apocalyptic number.

86732080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86732080 is an abundant number, since it is smaller than the sum of its proper divisors (123691952).

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

86732080 is a wasteful number, since it uses less digits than its factorization.

86732080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47173 (or 47167 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 86732080 is about 9313.0059594097. The cubic root of 86732080 is about 442.6494414758.

The spelling of 86732080 in words is "eighty-six million, seven hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 47137 94274 188548 235685 377096 471370 754192 942740 1084151 1885480 2168302 3770960 4336604 5420755 8673208 10841510 17346416 21683020 43366040 86732080