Search a number
-
+
1997128 = 237191877
BaseRepresentation
bin111100111100101001000
310202110112201
413213211020
51002402003
6110445544
722655350
oct7474510
93673481
101997128
111144521
128038b4
1354c043
1439db60
15296b1d
hex1e7948

1997128 has 32 divisors (see below), whose sum is σ = 4507200. Its totient is φ = 810432.

The previous prime is 1997119. The next prime is 1997129. The reversal of 1997128 is 8217991.

It is not an unprimeable number, because it can be changed into a prime (1997129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 2002.

It is an arithmetic number, because the mean of its divisors is an integer number (140850).

21997128 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 1997128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253600).

1997128 is an abundant number, since it is smaller than the sum of its proper divisors (2510072).

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

1997128 is a wasteful number, since it uses less digits than its factorization.

1997128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1905 counting only the distinct ones).

The product of its digits is 9072, while the sum is 37.

The square root of 1997128 is about 1413.1977922428. The cubic root of 1997128 is about 125.9317678780.

It can be divided in two parts, 199712 and 8, that multiplied together give a square (1597696 = 12642).

The spelling of 1997128 in words is "one million, nine hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 1877 3754 7508 13139 15016 26278 35663 52556 71326 105112 142652 249641 285304 499282 998564 1997128