Search a number
-
+
1997112 = 2331337173
BaseRepresentation
bin111100111100100111000
310202110112010
413213210320
51002401422
6110445520
722655325
oct7474470
93673463
101997112
111144507
128038a0
1354c030
1439db4c
15296b0c
hex1e7938

1997112 has 64 divisors (see below), whose sum is σ = 5554080. Its totient is φ = 594432.

The previous prime is 1997111. The next prime is 1997119. The reversal of 1997112 is 2117991.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1997112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997111) 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, 11458 + ... + 11630.

21997112 is an apocalyptic number.

1997112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777040).

1997112 is an abundant number, since it is smaller than the sum of its proper divisors (3556968).

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

1997112 is a wasteful number, since it uses less digits than its factorization.

1997112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 1134, while the sum is 30.

The square root of 1997112 is about 1413.1921313112. The cubic root of 1997112 is about 125.9314315761.

The spelling of 1997112 in words is "one million, nine hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 173 222 296 312 346 444 481 519 692 888 962 1038 1384 1443 1924 2076 2249 2886 3848 4152 4498 5772 6401 6747 8996 11544 12802 13494 17992 19203 25604 26988 38406 51208 53976 76812 83213 153624 166426 249639 332852 499278 665704 998556 1997112