Search a number
BaseRepresentation
bin10111001000000000
311210221011
4113020000
511012340
62010304
7543103
oct271000
9153834
1094720
116518a
1246994
1334162
142673a
151d0ea
hex17200

94720 has 40 divisors (see below), whose sum is σ = 233244. Its totient is φ = 36864.

The previous prime is 94709. The next prime is 94723. The reversal of 94720 is 2749.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 2304 = 304^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 94691 and 94700.

It is not an unprimeable number, because it can be changed into a prime (94723) by changing a digit.

94720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2542 + ... + 2578.

294720 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 94720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622).

94720 is an abundant number, since it is smaller than the sum of its proper divisors (138524).

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

94720 is an equidigital number, since it uses as much as digits as its factorization.

94720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 94720 is about 307.7661449867. The cubic root of 94720 is about 45.5841537224.

The spelling of 94720 in words is "ninety-four thousand, seven hundred twenty".