Search a number
-
+
9108768 = 253239397
BaseRepresentation
bin100010101111…
…110100100000
3122010202212210
4202233310200
54312440033
6523122120
7140265114
oct42576440
918122783
109108768
115161609
123073340
131b6c006
1412d1744
15bedd63
hex8afd20

9108768 has 48 divisors (see below), whose sum is σ = 24071040. Its totient is φ = 3015936.

The previous prime is 9108767. The next prime is 9108769. The reversal of 9108768 is 8678019.

It is an interprime number because it is at equal distance from previous prime (9108767) and next prime (9108769).

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9108763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22746 + ... + 23142.

It is an arithmetic number, because the mean of its divisors is an integer number (501480).

Almost surely, 29108768 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 9108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035520).

9108768 is an abundant number, since it is smaller than the sum of its proper divisors (14962272).

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

9108768 is a wasteful number, since it uses less digits than its factorization.

9108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 9108768 is about 3018.0735577517. The cubic root of 9108768 is about 208.8429793647.

It can be divided in two parts, 91087 and 68, that multiplied together give a palindrome (6193916).

The spelling of 9108768 in words is "nine million, one hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 397 478 717 794 956 1191 1434 1588 1912 2382 2868 3176 3824 4764 5736 6352 7648 9528 11472 12704 19056 22944 38112 94883 189766 284649 379532 569298 759064 1138596 1518128 2277192 3036256 4554384 9108768