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1997240 = 235721019
BaseRepresentation
bin111100111100110111000
310202110200212
413213212320
51002402430
6110450252
722655600
oct7474670
93673625
101997240
111144613
12803988
1354c0cb
1439dc00
15296b95
hex1e79b8

1997240 has 48 divisors (see below), whose sum is σ = 5232600. Its totient is φ = 684096.

The previous prime is 1997231. The next prime is 1997243. The reversal of 1997240 is 427991.

It is a junction number, because it is equal to n+sod(n) for n = 1997197 and 1997206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1451 + ... + 2469.

21997240 is an apocalyptic number.

1997240 is a gapful number since it is divisible by the number (10) 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 1997240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616300).

1997240 is an abundant number, since it is smaller than the sum of its proper divisors (3235360).

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

1997240 is a wasteful number, since it uses less digits than its factorization.

1997240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 1997240 is about 1413.2374181290. The cubic root of 1997240 is about 125.9341219408.

The spelling of 1997240 in words is "one million, nine hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1019 1960 2038 4076 5095 7133 8152 10190 14266 20380 28532 35665 40760 49931 57064 71330 99862 142660 199724 249655 285320 399448 499310 998620 1997240