Search a number
-
+
9011968 = 28747107
BaseRepresentation
bin100010011000…
…001100000000
3121221212002121
4202120030000
54301340333
6521054024
7136412650
oct42301400
917855077
109011968
1150a5909
123027314
131b36c34
1412a8360
15bd032d
hex898300

9011968 has 72 divisors (see below), whose sum is σ = 21192192. Its totient is φ = 3744768.

The previous prime is 9011939. The next prime is 9011987. The reversal of 9011968 is 8691109.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84171 + ... + 84277.

It is an arithmetic number, because the mean of its divisors is an integer number (294336).

Almost surely, 29011968 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 9011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096).

9011968 is an abundant number, since it is smaller than the sum of its proper divisors (12180224).

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

9011968 is a wasteful number, since it uses less digits than its factorization.

9011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 9011968 is about 3001.9940039913. The cubic root of 9011968 is about 208.1005431076.

The spelling of 9011968 in words is "nine million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 107 112 128 188 214 224 256 329 376 428 448 658 749 752 856 896 1316 1498 1504 1712 1792 2632 2996 3008 3424 5029 5264 5992 6016 6848 10058 10528 11984 12032 13696 20116 21056 23968 27392 35203 40232 42112 47936 70406 80464 84224 95872 140812 160928 191744 281624 321856 563248 643712 1126496 1287424 2252992 4505984 9011968