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9130128 = 243729937
BaseRepresentation
bin100010110101…
…000010010000
3122011212011220
4202311002100
54314131003
6523405040
7140414310
oct42650220
918155156
109130128
115176667
123083780
131b78957
1412d9440
15c05353
hex8b5090

9130128 has 80 divisors (see below), whose sum is σ = 27914880. Its totient is φ = 2515968.

The previous prime is 9130123. The next prime is 9130133. The reversal of 9130128 is 8210319.

It is an interprime number because it is at equal distance from previous prime (9130123) and next prime (9130133).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 9130098 and 9130107.

It is not an unprimeable number, because it can be changed into a prime (9130123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9276 + ... + 10212.

It is an arithmetic number, because the mean of its divisors is an integer number (348936).

Almost surely, 29130128 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 9130128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13957440).

9130128 is an abundant number, since it is smaller than the sum of its proper divisors (18784752).

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

9130128 is a wasteful number, since it uses less digits than its factorization.

9130128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 9130128 is about 3021.6101667819. The cubic root of 9130128 is about 209.0060970574.

The spelling of 9130128 in words is "nine million, one hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 937 1218 1392 1624 1874 2436 2811 3248 3748 4872 5622 6559 7496 9744 11244 13118 14992 19677 22488 26236 27173 39354 44976 52472 54346 78708 81519 104944 108692 157416 163038 190211 217384 314832 326076 380422 434768 570633 652152 760844 1141266 1304304 1521688 2282532 3043376 4565064 9130128