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86729680 = 2451957059
BaseRepresentation
bin1010010101101…
…10001111010000
320001012022202101
411022312033100
5134200322210
612334530144
72102122132
oct512661720
9201168671
1086729680
1144a58324
1225066954
1314c7854b
14b739052
157932a3a
hex52b63d0

86729680 has 40 divisors (see below), whose sum is σ = 212263200. Its totient is φ = 32865408.

The previous prime is 86729659. The next prime is 86729689. The reversal of 86729680 is 8692768.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86729680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86729689) 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, 27010 + ... + 30049.

It is an arithmetic number, because the mean of its divisors is an integer number (5306580).

Almost surely, 286729680 is an apocalyptic number.

86729680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86729680 is an abundant number, since it is smaller than the sum of its proper divisors (125533520).

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

86729680 is a wasteful number, since it uses less digits than its factorization.

86729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57091 (or 57085 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 86729680 is about 9312.8771064586. The cubic root of 86729680 is about 442.6453585250.

The spelling of 86729680 in words is "eighty-six million, seven hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 57059 114118 228236 285295 456472 570590 912944 1084121 1141180 2168242 2282360 4336484 4564720 5420605 8672968 10841210 17345936 21682420 43364840 86729680