Search a number
-
+
89002170 = 23251496637
BaseRepresentation
bin1010100111000…
…01000010111010
320012110210000200
411103201002322
5140241032140
612455343030
72130335355
oct523410272
9205423020
1089002170
114626a714
1225981a76
1315592a0a
14bb6b29c
157c31030
hex54e10ba

89002170 has 48 divisors (see below), whose sum is σ = 232993800. Its totient is φ = 23571072.

The previous prime is 89002169. The next prime is 89002171. The reversal of 89002170 is 7120098.

It is an interprime number because it is at equal distance from previous prime (89002169) and next prime (89002171).

It can be written as a sum of positive squares in 4 ways, for example, as 24890121 + 64112049 = 4989^2 + 8007^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89002171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10092 + ... + 16728.

Almost surely, 289002170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89002170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116496900).

89002170 is an abundant number, since it is smaller than the sum of its proper divisors (143991630).

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

89002170 is a wasteful number, since it uses less digits than its factorization.

89002170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 89002170 is about 9434.0961411256. The cubic root of 89002170 is about 446.4781381795.

The spelling of 89002170 in words is "eighty-nine million, two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6637 6705 13274 13410 19911 33185 39822 59733 66370 99555 119466 199110 298665 597330 988913 1977826 2966739 4944565 5933478 8900217 9889130 14833695 17800434 29667390 44501085 89002170