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89716320 = 2532562303
BaseRepresentation
bin1010101100011…
…11011001100000
320020211001122200
411112033121200
5140431410240
612522533200
72136401421
oct526173140
9206731580
1089716320
1146708221
1226067200
1315782aa5
14bcb5648
157d22930
hex558f660

89716320 has 72 divisors (see below), whose sum is σ = 306161856. Its totient is φ = 23923968.

The previous prime is 89716313. The next prime is 89716331. The reversal of 89716320 is 2361798.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 29712 + ... + 32591.

It is an arithmetic number, because the mean of its divisors is an integer number (4252248).

Almost surely, 289716320 is an apocalyptic number.

89716320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89716320 is an abundant number, since it is smaller than the sum of its proper divisors (216445536).

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

89716320 is a wasteful number, since it uses less digits than its factorization.

89716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62324 (or 62313 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 89716320 is about 9471.8699315394. The cubic root of 89716320 is about 447.6691328264.

The spelling of 89716320 in words is "eighty-nine million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 62303 124606 186909 249212 311515 373818 498424 560727 623030 747636 934545 996848 1121454 1246060 1495272 1869090 1993696 2242908 2492120 2803635 2990544 3738180 4485816 4984240 5607270 5981088 7476360 8971632 9968480 11214540 14952720 17943264 22429080 29905440 44858160 89716320