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89386120 = 23529251307
BaseRepresentation
bin1010101001111…
…10110010001000
320020012021201001
411110332302020
5140340323440
612511504344
72133524635
oct524766210
9206167631
1089386120
114650212a
1225b280b4
13156986c5
14bc2b18c
157ca9b9a
hex553ec88

89386120 has 64 divisors (see below), whose sum is σ = 209563200. Its totient is φ = 34272000.

The previous prime is 89386097. The next prime is 89386123. The reversal of 89386120 is 2168398.

It is a self number, because there is not a number n which added to its sum of digits gives 89386120.

It is not an unprimeable number, because it can be changed into a prime (89386123) 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 15 ways as a sum of consecutive naturals, for example, 291007 + ... + 291313.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 289386120 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 89386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

89386120 is an abundant number, since it is smaller than the sum of its proper divisors (120177080).

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

89386120 is a wasteful number, since it uses less digits than its factorization.

89386120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 89386120 is about 9454.4233034067. The cubic root of 89386120 is about 447.1192437620.

The spelling of 89386120 in words is "eighty-nine million, three hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 251 290 307 502 580 614 1004 1160 1228 1255 1535 2008 2456 2510 3070 5020 6140 7279 8903 10040 12280 14558 17806 29116 35612 36395 44515 58232 71224 72790 77057 89030 145580 154114 178060 291160 308228 356120 385285 616456 770570 1541140 2234653 3082280 4469306 8938612 11173265 17877224 22346530 44693060 89386120