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9997128 = 2333311493
BaseRepresentation
bin100110001000…
…101101001000
3200210220111000
4212020231020
510024402003
6554135000
7150655101
oct46105510
920726430
109997128
115708a99
123421460
1320c047b
1414833a8
15d271a3
hex988b48

9997128 has 64 divisors (see below), whose sum is σ = 28684800. Its totient is φ = 3222720.

The previous prime is 9997123. The next prime is 9997129. The reversal of 9997128 is 8217999.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9997123) 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, 5950 + ... + 7442.

It is an arithmetic number, because the mean of its divisors is an integer number (448200).

Almost surely, 29997128 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 9997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342400).

9997128 is an abundant number, since it is smaller than the sum of its proper divisors (18687672).

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

9997128 is a wasteful number, since it uses less digits than its factorization.

9997128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 9997128 is about 3161.8235244871. The cubic root of 9997128 is about 215.4228419069.

It can be divided in two parts, 99971 and 28, that added together give a palindrome (99999).

The spelling of 9997128 in words is "nine million, nine hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1493 1674 2232 2986 3348 4479 5972 6696 8958 11944 13437 17916 26874 35832 40311 46283 53748 80622 92566 107496 138849 161244 185132 277698 322488 370264 416547 555396 833094 1110792 1249641 1666188 2499282 3332376 4998564 9997128