Search a number
-
+
9280100 = 225292801
BaseRepresentation
bin100011011001…
…101001100100
3122110110220102
4203121221210
54333430400
6530523232
7141610454
oct43315144
918413812
109280100
115269305
123136518
131bcbcab
141337d64
15c349d5
hex8d9a64

9280100 has 18 divisors (see below), whose sum is σ = 20138034. Its totient is φ = 3712000.

The previous prime is 9280099. The next prime is 9280121. The reversal of 9280100 is 10829.

It can be written as a sum of positive squares in 3 ways, for example, as 1350244 + 7929856 = 1162^2 + 2816^2 .

It is a super-2 number, since 2×92801002 = 172240512020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46301 + ... + 46500.

Almost surely, 29280100 is an apocalyptic number.

It is an amenable number.

9280100 is an abundant number, since it is smaller than the sum of its proper divisors (10857934).

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

9280100 is a wasteful number, since it uses less digits than its factorization.

9280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92815 (or 92808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 9280100 is about 3046.3256556055. The cubic root of 9280100 is about 210.1442697228.

Adding to 9280100 its reverse (10829), we get a palindrome (9290929).

The spelling of 9280100 in words is "nine million, two hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 92801 185602 371204 464005 928010 1856020 2320025 4640050 9280100