Search a number
-
+
89163360 = 253251113433
BaseRepresentation
bin1010101000010…
…00011001100000
320012202222010200
411110020121200
5140311211420
612503025200
72131606326
oct524103140
9205688120
1089163360
114636a830
1225a3b200
131561b1b0
14bbadd16
157c63b90
hex5508660

89163360 has 288 divisors, whose sum is σ = 358289568. Its totient is φ = 19906560.

The previous prime is 89163353. The next prime is 89163379. The reversal of 89163360 is 6336198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205704 + ... + 206136.

It is an arithmetic number, because the mean of its divisors is an integer number (1244061).

Almost surely, 289163360 is an apocalyptic number.

89163360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89163360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

89163360 is an abundant number, since it is smaller than the sum of its proper divisors (269126208).

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

89163360 is a wasteful number, since it uses less digits than its factorization.

89163360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 89163360 is about 9442.6352254019. The cubic root of 89163360 is about 446.7475114179.

The spelling of 89163360 in words is "eighty-nine million, one hundred sixty-three thousand, three hundred sixty".