Search a number
-
+
804453120 = 283457759
BaseRepresentation
bin101111111100101…
…111101100000000
32002001201110020000
4233330233230000
53121414444440
6211454120000
725635511242
oct5774575400
92061643200
10804453120
11383102599
121a54b0000
13ca881a83
1478ba8092
154a956730
hex2ff2fb00

804453120 has 180 divisors, whose sum is σ = 2878851360. Its totient is φ = 214493184.

The previous prime is 804453113. The next prime is 804453161. The reversal of 804453120 is 21354408.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99801 + ... + 107559.

Almost surely, 2804453120 is an apocalyptic number.

804453120 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 804453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439425680).

804453120 is an abundant number, since it is smaller than the sum of its proper divisors (2074398240).

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

804453120 is an equidigital number, since it uses as much as digits as its factorization.

804453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804453120 is about 28362.8827871921. The cubic root of 804453120 is about 930.0370432695.

The spelling of 804453120 in words is "eight hundred four million, four hundred fifty-three thousand, one hundred twenty".