Search a number
-
+
97770 = 2353259
BaseRepresentation
bin10111110111101010
311222010010
4113313222
511112040
62032350
7555021
oct276752
9158103
1097770
1167502
12486b6
133566a
14278b8
151de80
hex17dea

97770 has 16 divisors (see below), whose sum is σ = 234720. Its totient is φ = 26064.

The previous prime is 97729. The next prime is 97771. The reversal of 97770 is 7779.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3259 = 97770 / (9 + 7 + 7 + 7 + 0).

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97770.

It is not an unprimeable number, because it can be changed into a prime (97771) by changing a digit.

97770 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1600 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (14670).

297770 is an apocalyptic number.

97770 is an abundant number, since it is smaller than the sum of its proper divisors (136950).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117360).

97770 is a wasteful number, since it uses less digits than its factorization.

97770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269.

The product of its (nonzero) digits is 3087, while the sum is 30.

The square root of 97770 is about 312.6819470324. The cubic root of 97770 is about 46.0682666282.

The spelling of 97770 in words is "ninety-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 3259 6518 9777 16295 19554 32590 48885 97770