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89320104 = 2333616779
BaseRepresentation
bin1010101001011…
…10101010101000
320020001221011000
411110232222220
5140331220404
612510235000
72133131316
oct524565250
9206057130
1089320104
1146467575
1225ab5a60
1315674643
14bc110b6
157c95339
hex552eaa8

89320104 has 64 divisors (see below), whose sum is σ = 252216000. Its totient is φ = 29280960.

The previous prime is 89320103. The next prime is 89320111. The reversal of 89320104 is 40102398.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (89320103) 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, 9787 + ... + 16565.

It is an arithmetic number, because the mean of its divisors is an integer number (3940875).

Almost surely, 289320104 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 89320104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108000).

89320104 is an abundant number, since it is smaller than the sum of its proper divisors (162895896).

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

89320104 is a wasteful number, since it uses less digits than its factorization.

89320104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89320104 is about 9450.9313826734. The cubic root of 89320104 is about 447.0091435452.

The spelling of 89320104 in words is "eighty-nine million, three hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 6779 13176 13558 20337 27116 40674 54232 61011 81348 122022 162696 183033 244044 366066 413519 488088 732132 827038 1240557 1464264 1654076 2481114 3308152 3721671 4962228 7443342 9924456 11165013 14886684 22330026 29773368 44660052 89320104