Search a number
-
+
9420768 = 253274673
BaseRepresentation
bin100011111011…
…111111100000
3122201121212100
4203323333200
54402431033
6533530400
7143034540
oct43737740
918647770
109420768
115354a65
1231a3a00
131c4b026
141373320
15c61513
hex8fbfe0

9420768 has 72 divisors (see below), whose sum is σ = 30624048. Its totient is φ = 2691072.

The previous prime is 9420757. The next prime is 9420793. The reversal of 9420768 is 8670249.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 321 + ... + 4352.

It is an arithmetic number, because the mean of its divisors is an integer number (425334).

Almost surely, 29420768 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 9420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312024).

9420768 is an abundant number, since it is smaller than the sum of its proper divisors (21203280).

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

9420768 is a wasteful number, since it uses less digits than its factorization.

9420768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9420768 is about 3069.3269620554. The cubic root of 9420768 is about 211.2007403555.

The spelling of 9420768 in words is "nine million, four hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4673 9346 14019 18692 28038 32711 37384 42057 56076 65422 74768 84114 98133 112152 130844 149536 168228 196266 224304 261688 294399 336456 392532 448608 523376 588798 672912 785064 1046752 1177596 1345824 1570128 2355192 3140256 4710384 9420768