Search a number
-
+
9680832 = 263275
BaseRepresentation
bin100100111011…
…011111000000
3200012211121100
4210323133000
54434241312
6543254400
7145200000
oct44733700
920184540
109680832
115512397
1232aa400
13200c505
141400000
15cb35dc
hex93b7c0

9680832 has 126 divisors (see below), whose sum is σ = 32372808. Its totient is φ = 2765952.

The previous prime is 9680813. The next prime is 9680843. The reversal of 9680832 is 2380869.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9680832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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 17 ways as a sum of consecutive naturals, for example, 1382973 + ... + 1382979.

Almost surely, 29680832 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 9680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186404).

9680832 is an abundant number, since it is smaller than the sum of its proper divisors (22691976).

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

9680832 is an frugal number, since it uses more digits than its factorization.

9680832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9680832 is about 3111.4035418120. The cubic root of 9680832 is about 213.1265531086.

The spelling of 9680832 in words is "nine million, six hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 343 392 441 448 504 576 588 672 686 784 882 1008 1029 1176 1344 1372 1568 1764 2016 2058 2352 2401 2744 3087 3136 3528 4032 4116 4704 4802 5488 6174 7056 7203 8232 9408 9604 10976 12348 14112 14406 16464 16807 19208 21609 21952 24696 28224 28812 32928 33614 38416 43218 49392 50421 57624 65856 67228 76832 86436 98784 100842 115248 134456 151263 153664 172872 197568 201684 230496 268912 302526 345744 403368 460992 537824 605052 691488 806736 1075648 1210104 1382976 1613472 2420208 3226944 4840416 9680832