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89099560 = 23511241449
BaseRepresentation
bin1010100111110…
…00110100101000
320012122201121201
411103320310220
5140302141220
612501413544
72131222324
oct523706450
9205581551
1089099560
1146326900
1225a0a2b4
13155c8144
14bb94984
157c4ed0a
hex54f8d28

89099560 has 96 divisors (see below), whose sum is σ = 226233000. Its totient is φ = 31539200.

The previous prime is 89099509. The next prime is 89099561. The reversal of 89099560 is 6599098.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53027524 + 36072036 = 7282^2 + 6006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89099560.

It is not an unprimeable number, because it can be changed into a prime (89099561) 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 23 ways as a sum of consecutive naturals, for example, 198216 + ... + 198664.

Almost surely, 289099560 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 89099560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113116500).

89099560 is an abundant number, since it is smaller than the sum of its proper divisors (137133440).

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

89099560 is a wasteful number, since it uses less digits than its factorization.

89099560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 89099560 is about 9439.2563266393. The cubic root of 89099560 is about 446.6409306723.

The spelling of 89099560 in words is "eighty-nine million, ninety-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 449 451 484 605 820 898 902 968 1210 1640 1796 1804 2245 2255 2420 3592 3608 4490 4510 4840 4939 4961 8980 9020 9878 9922 17960 18040 18409 19756 19844 24695 24805 36818 39512 39688 49390 49610 54329 73636 92045 98780 99220 108658 147272 184090 197560 198440 202499 217316 271645 368180 404998 434632 543290 736360 809996 1012495 1086580 1619992 2024990 2173160 2227489 4049980 4454978 8099960 8909956 11137445 17819912 22274890 44549780 89099560