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9923328 = 28325973
BaseRepresentation
bin100101110110…
…101100000000
3200200011020200
4211312230000
510020021303
6552405200
7150226662
oct45665400
920604220
109923328
1156685a8
1233a6800
1320959bc
141464532
15d103a3
hex976b00

9923328 has 108 divisors (see below), whose sum is σ = 29494920. Its totient is φ = 3207168.

The previous prime is 9923323. The next prime is 9923341. The reversal of 9923328 is 8233299.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9923292 and 9923301.

It is not an unprimeable number, because it can be changed into a prime (9923323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135900 + ... + 135972.

Almost surely, 29923328 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 9923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747460).

9923328 is an abundant number, since it is smaller than the sum of its proper divisors (19571592).

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

9923328 is a wasteful number, since it uses less digits than its factorization.

9923328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9923328 is about 3150.1314258297. The cubic root of 9923328 is about 214.8914396952.

The spelling of 9923328 in words is "nine million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 73 96 118 128 144 146 177 192 219 236 256 288 292 354 384 438 472 531 576 584 657 708 768 876 944 1062 1152 1168 1314 1416 1752 1888 2124 2304 2336 2628 2832 3504 3776 4248 4307 4672 5256 5664 7008 7552 8496 8614 9344 10512 11328 12921 14016 15104 16992 17228 18688 21024 22656 25842 28032 33984 34456 38763 42048 45312 51684 56064 67968 68912 77526 84096 103368 135936 137824 155052 168192 206736 275648 310104 413472 551296 620208 826944 1102592 1240416 1653888 2480832 3307776 4961664 9923328