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997128 = 2332111259
BaseRepresentation
bin11110011011100001000
31212122210200
43303130020
5223402003
633212200
711322036
oct3633410
91778720
10997128
11621180
12401060
1328bb22
141bd556
1514a6a3
hexf3708

997128 has 48 divisors (see below), whose sum is σ = 2948400. Its totient is φ = 301920.

The previous prime is 997123. The next prime is 997141. The reversal of 997128 is 821799.

It is a happy number.

997128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 997092 and 997101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 997128.

It is not an unprimeable number, because it can be changed into a prime (997121) by changing a digit.

997128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2997128 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 997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474200).

997128 is an abundant number, since it is smaller than the sum of its proper divisors (1951272).

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

997128 is a wasteful number, since it uses less digits than its factorization.

997128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1275 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 997128 is about 998.5629674688. The cubic root of 997128 is about 99.9041748714.

It can be divided in two parts, 9971 and 28, that added together give a palindrome (9999).

The spelling of 997128 in words is "nine hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1259 2518 3777 5036 7554 10072 11331 13849 15108 22662 27698 30216 41547 45324 55396 83094 90648 110792 124641 166188 249282 332376 498564 997128